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Finding the Third Proportional to 242,178 and 527,952

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Solution

The third proportional to 242,178 and 527,952 is: 1,150,943.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,178 : 527,952 = 527,952 : x
  2. Step 2: Convert to fraction form
    242,178/527,952 = 527,952/x
  3. Step 3: Cross multiply
    242,178x = 527,952 × 527,952
  4. Step 4: Simplify right side
    242,178x = 278,733,314,304
  5. Step 5: Solve for x
    x = 278,733,314,304/242,178
  6. Step 6: Final answer
    x = 1,150,943.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.