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Finding the Third Proportional to 239,125.50 and 510,246

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Solution

The third proportional to 239,125.50 and 510,246 is: 1,088,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,125.50 : 510,246 = 510,246 : x
  2. Step 2: Convert to fraction form
    239,125.50/510,246 = 510,246/x
  3. Step 3: Cross multiply
    239,125.50x = 510,246 × 510,246
  4. Step 4: Simplify right side
    239,125.50x = 260,350,980,516
  5. Step 5: Solve for x
    x = 260,350,980,516/239,125.50
  6. Step 6: Final answer
    x = 1,088,762.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.