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Finding the Third Proportional to 137,653.50 and 200,488.50

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Solution

The third proportional to 137,653.50 and 200,488.50 is: 292,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,653.50 : 200,488.50 = 200,488.50 : x
  2. Step 2: Convert to fraction form
    137,653.50/200,488.50 = 200,488.50/x
  3. Step 3: Cross multiply
    137,653.50x = 200,488.50 × 200,488.50
  4. Step 4: Simplify right side
    137,653.50x = 40,195,638,632.25
  5. Step 5: Solve for x
    x = 40,195,638,632.25/137,653.50
  6. Step 6: Final answer
    x = 292,005.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.