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Finding the Third Proportional to 114,428 and 247,729

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Solution

The third proportional to 114,428 and 247,729 is: 536,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,428 : 247,729 = 247,729 : x
  2. Step 2: Convert to fraction form
    114,428/247,729 = 247,729/x
  3. Step 3: Cross multiply
    114,428x = 247,729 × 247,729
  4. Step 4: Simplify right side
    114,428x = 61,369,657,441
  5. Step 5: Solve for x
    x = 61,369,657,441/114,428
  6. Step 6: Final answer
    x = 536,316.79

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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.