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Finding the Third Proportional to 146,731.50 and 216,202.50

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Solution

The third proportional to 146,731.50 and 216,202.50 is: 318,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,731.50 : 216,202.50 = 216,202.50 : x
  2. Step 2: Convert to fraction form
    146,731.50/216,202.50 = 216,202.50/x
  3. Step 3: Cross multiply
    146,731.50x = 216,202.50 × 216,202.50
  4. Step 4: Simplify right side
    146,731.50x = 46,743,521,006.25
  5. Step 5: Solve for x
    x = 46,743,521,006.25/146,731.50
  6. Step 6: Final answer
    x = 318,565.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.