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Finding the Third Proportional to 151,128 and 316,765.13

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Solution

The third proportional to 151,128 and 316,765.13 is: 663,941.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,128 : 316,765.13 = 316,765.13 : x
  2. Step 2: Convert to fraction form
    151,128/316,765.13 = 316,765.13/x
  3. Step 3: Cross multiply
    151,128x = 316,765.13 × 316,765.13
  4. Step 4: Simplify right side
    151,128x = 100,340,144,416.27
  5. Step 5: Solve for x
    x = 100,340,144,416.27/151,128
  6. Step 6: Final answer
    x = 663,941.46

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.