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Finding the Third Proportional to 146,250 and 316,487.25

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Solution

The third proportional to 146,250 and 316,487.25 is: 684,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,250 : 316,487.25 = 316,487.25 : x
  2. Step 2: Convert to fraction form
    146,250/316,487.25 = 316,487.25/x
  3. Step 3: Cross multiply
    146,250x = 316,487.25 × 316,487.25
  4. Step 4: Simplify right side
    146,250x = 100,164,179,412.56
  5. Step 5: Solve for x
    x = 100,164,179,412.56/146,250
  6. Step 6: Final answer
    x = 684,883.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.