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Finding the Third Proportional to 152,532 and 356,319

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Solution

The third proportional to 152,532 and 356,319 is: 832,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,532 : 356,319 = 356,319 : x
  2. Step 2: Convert to fraction form
    152,532/356,319 = 356,319/x
  3. Step 3: Cross multiply
    152,532x = 356,319 × 356,319
  4. Step 4: Simplify right side
    152,532x = 126,963,229,761
  5. Step 5: Solve for x
    x = 126,963,229,761/152,532
  6. Step 6: Final answer
    x = 832,371.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.