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Finding the Third Proportional to 111,688 and 240,870

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Solution

The third proportional to 111,688 and 240,870 is: 519,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,688 : 240,870 = 240,870 : x
  2. Step 2: Convert to fraction form
    111,688/240,870 = 240,870/x
  3. Step 3: Cross multiply
    111,688x = 240,870 × 240,870
  4. Step 4: Simplify right side
    111,688x = 58,018,356,900
  5. Step 5: Solve for x
    x = 58,018,356,900/111,688
  6. Step 6: Final answer
    x = 519,468.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.