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Finding the Third Proportional to 147,304.13 and 316,407.38

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Solution

The third proportional to 147,304.13 and 316,407.38 is: 679,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,304.13 : 316,407.38 = 316,407.38 : x
  2. Step 2: Convert to fraction form
    147,304.13/316,407.38 = 316,407.38/x
  3. Step 3: Cross multiply
    147,304.13x = 316,407.38 × 316,407.38
  4. Step 4: Simplify right side
    147,304.13x = 100,113,626,954.39
  5. Step 5: Solve for x
    x = 100,113,626,954.39/147,304.13
  6. Step 6: Final answer
    x = 679,638.99

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