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Finding the Third Proportional to 147,548 and 316,598

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Solution

The third proportional to 147,548 and 316,598 is: 679,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,548 : 316,598 = 316,598 : x
  2. Step 2: Convert to fraction form
    147,548/316,598 = 316,598/x
  3. Step 3: Cross multiply
    147,548x = 316,598 × 316,598
  4. Step 4: Simplify right side
    147,548x = 100,234,293,604
  5. Step 5: Solve for x
    x = 100,234,293,604/147,548
  6. Step 6: Final answer
    x = 679,333.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.