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Finding the Third Proportional to 242,140 and 532,340

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Solution

The third proportional to 242,140 and 532,340 is: 1,170,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,140 : 532,340 = 532,340 : x
  2. Step 2: Convert to fraction form
    242,140/532,340 = 532,340/x
  3. Step 3: Cross multiply
    242,140x = 532,340 × 532,340
  4. Step 4: Simplify right side
    242,140x = 283,385,875,600
  5. Step 5: Solve for x
    x = 283,385,875,600/242,140
  6. Step 6: Final answer
    x = 1,170,338.96

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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.