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Finding the Third Proportional to 235,929.38 and 375,271.31

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Solution

The third proportional to 235,929.38 and 375,271.31 is: 596,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,929.38 : 375,271.31 = 375,271.31 : x
  2. Step 2: Convert to fraction form
    235,929.38/375,271.31 = 375,271.31/x
  3. Step 3: Cross multiply
    235,929.38x = 375,271.31 × 375,271.31
  4. Step 4: Simplify right side
    235,929.38x = 140,828,557,985.47
  5. Step 5: Solve for x
    x = 140,828,557,985.47/235,929.38
  6. Step 6: Final answer
    x = 596,909.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.