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Finding the Third Proportional to 119,583 and 253,746

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Solution

The third proportional to 119,583 and 253,746 is: 538,429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,583 : 253,746 = 253,746 : x
  2. Step 2: Convert to fraction form
    119,583/253,746 = 253,746/x
  3. Step 3: Cross multiply
    119,583x = 253,746 × 253,746
  4. Step 4: Simplify right side
    119,583x = 64,387,032,516
  5. Step 5: Solve for x
    x = 64,387,032,516/119,583
  6. Step 6: Final answer
    x = 538,429.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.