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Finding the Third Proportional to 146,248.50 and 316,483.50

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Solution

The third proportional to 146,248.50 and 316,483.50 is: 684,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,248.50 : 316,483.50 = 316,483.50 : x
  2. Step 2: Convert to fraction form
    146,248.50/316,483.50 = 316,483.50/x
  3. Step 3: Cross multiply
    146,248.50x = 316,483.50 × 316,483.50
  4. Step 4: Simplify right side
    146,248.50x = 100,161,805,772.25
  5. Step 5: Solve for x
    x = 100,161,805,772.25/146,248.50
  6. Step 6: Final answer
    x = 684,874.07

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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.