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Finding the Third Proportional to 182,468 and 290,566

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Solution

The third proportional to 182,468 and 290,566 is: 462,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,468 : 290,566 = 290,566 : x
  2. Step 2: Convert to fraction form
    182,468/290,566 = 290,566/x
  3. Step 3: Cross multiply
    182,468x = 290,566 × 290,566
  4. Step 4: Simplify right side
    182,468x = 84,428,600,356
  5. Step 5: Solve for x
    x = 84,428,600,356/182,468
  6. Step 6: Final answer
    x = 462,703.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.