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Finding the Third Proportional to 144,652.50 and 317,331

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Solution

The third proportional to 144,652.50 and 317,331 is: 696,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,652.50 : 317,331 = 317,331 : x
  2. Step 2: Convert to fraction form
    144,652.50/317,331 = 317,331/x
  3. Step 3: Cross multiply
    144,652.50x = 317,331 × 317,331
  4. Step 4: Simplify right side
    144,652.50x = 100,698,963,561
  5. Step 5: Solve for x
    x = 100,698,963,561/144,652.50
  6. Step 6: Final answer
    x = 696,143.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.