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Finding the Third Proportional to 146,250 and 316,486

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Solution

The third proportional to 146,250 and 316,486 is: 684,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,250 : 316,486 = 316,486 : x
  2. Step 2: Convert to fraction form
    146,250/316,486 = 316,486/x
  3. Step 3: Cross multiply
    146,250x = 316,486 × 316,486
  4. Step 4: Simplify right side
    146,250x = 100,163,388,196
  5. Step 5: Solve for x
    x = 100,163,388,196/146,250
  6. Step 6: Final answer
    x = 684,877.87

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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.