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Finding the Third Proportional to 112,528 and 242,552

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Solution

The third proportional to 112,528 and 242,552 is: 522,816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,528 : 242,552 = 242,552 : x
  2. Step 2: Convert to fraction form
    112,528/242,552 = 242,552/x
  3. Step 3: Cross multiply
    112,528x = 242,552 × 242,552
  4. Step 4: Simplify right side
    112,528x = 58,831,472,704
  5. Step 5: Solve for x
    x = 58,831,472,704/112,528
  6. Step 6: Final answer
    x = 522,816.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.