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Finding the Third Proportional to 142,656 and 308,352

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Solution

The third proportional to 142,656 and 308,352 is: 666,505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,656 : 308,352 = 308,352 : x
  2. Step 2: Convert to fraction form
    142,656/308,352 = 308,352/x
  3. Step 3: Cross multiply
    142,656x = 308,352 × 308,352
  4. Step 4: Simplify right side
    142,656x = 95,080,955,904
  5. Step 5: Solve for x
    x = 95,080,955,904/142,656
  6. Step 6: Final answer
    x = 666,505.13

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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.