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Finding the Third Proportional to 142,464 and 307,764

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Solution

The third proportional to 142,464 and 307,764 is: 664,860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,464 : 307,764 = 307,764 : x
  2. Step 2: Convert to fraction form
    142,464/307,764 = 307,764/x
  3. Step 3: Cross multiply
    142,464x = 307,764 × 307,764
  4. Step 4: Simplify right side
    142,464x = 94,718,679,696
  5. Step 5: Solve for x
    x = 94,718,679,696/142,464
  6. Step 6: Final answer
    x = 664,860.45

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