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Finding the Third Proportional to 240,687 and 369,985.50

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Solution

The third proportional to 240,687 and 369,985.50 is: 568,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,687 : 369,985.50 = 369,985.50 : x
  2. Step 2: Convert to fraction form
    240,687/369,985.50 = 369,985.50/x
  3. Step 3: Cross multiply
    240,687x = 369,985.50 × 369,985.50
  4. Step 4: Simplify right side
    240,687x = 136,889,270,210.25
  5. Step 5: Solve for x
    x = 136,889,270,210.25/240,687
  6. Step 6: Final answer
    x = 568,743.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.