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Finding the Third Proportional to 125,341.50 and 275,487

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Solution

The third proportional to 125,341.50 and 275,487 is: 605,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,341.50 : 275,487 = 275,487 : x
  2. Step 2: Convert to fraction form
    125,341.50/275,487 = 275,487/x
  3. Step 3: Cross multiply
    125,341.50x = 275,487 × 275,487
  4. Step 4: Simplify right side
    125,341.50x = 75,893,087,169
  5. Step 5: Solve for x
    x = 75,893,087,169/125,341.50
  6. Step 6: Final answer
    x = 605,490.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.