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Finding the Third Proportional to 144,931.50 and 309,766.50

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Solution

The third proportional to 144,931.50 and 309,766.50 is: 662,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,931.50 : 309,766.50 = 309,766.50 : x
  2. Step 2: Convert to fraction form
    144,931.50/309,766.50 = 309,766.50/x
  3. Step 3: Cross multiply
    144,931.50x = 309,766.50 × 309,766.50
  4. Step 4: Simplify right side
    144,931.50x = 95,955,284,522.25
  5. Step 5: Solve for x
    x = 95,955,284,522.25/144,931.50
  6. Step 6: Final answer
    x = 662,073.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.