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Finding the Third Proportional to 125,220 and 295,294.50

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Solution

The third proportional to 125,220 and 295,294.50 is: 696,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,220 : 295,294.50 = 295,294.50 : x
  2. Step 2: Convert to fraction form
    125,220/295,294.50 = 295,294.50/x
  3. Step 3: Cross multiply
    125,220x = 295,294.50 × 295,294.50
  4. Step 4: Simplify right side
    125,220x = 87,198,841,730.25
  5. Step 5: Solve for x
    x = 87,198,841,730.25/125,220
  6. Step 6: Final answer
    x = 696,365.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.