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Finding the Third Proportional to 147,764 and 316,534

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Solution

The third proportional to 147,764 and 316,534 is: 678,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,764 : 316,534 = 316,534 : x
  2. Step 2: Convert to fraction form
    147,764/316,534 = 316,534/x
  3. Step 3: Cross multiply
    147,764x = 316,534 × 316,534
  4. Step 4: Simplify right side
    147,764x = 100,193,773,156
  5. Step 5: Solve for x
    x = 100,193,773,156/147,764
  6. Step 6: Final answer
    x = 678,066.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.