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Finding the Third Proportional to 242,142 and 532,044

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Solution

The third proportional to 242,142 and 532,044 is: 1,169,028.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,142 : 532,044 = 532,044 : x
  2. Step 2: Convert to fraction form
    242,142/532,044 = 532,044/x
  3. Step 3: Cross multiply
    242,142x = 532,044 × 532,044
  4. Step 4: Simplify right side
    242,142x = 283,070,817,936
  5. Step 5: Solve for x
    x = 283,070,817,936/242,142
  6. Step 6: Final answer
    x = 1,169,028.17

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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.