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Finding the Third Proportional to 147,654.56 and 316,288.13

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Solution

The third proportional to 147,654.56 and 316,288.13 is: 677,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,654.56 : 316,288.13 = 316,288.13 : x
  2. Step 2: Convert to fraction form
    147,654.56/316,288.13 = 316,288.13/x
  3. Step 3: Cross multiply
    147,654.56x = 316,288.13 × 316,288.13
  4. Step 4: Simplify right side
    147,654.56x = 100,038,178,016.02
  5. Step 5: Solve for x
    x = 100,038,178,016.02/147,654.56
  6. Step 6: Final answer
    x = 677,514.98

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