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Finding the Third Proportional to 110,248 and 237,952

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Solution

The third proportional to 110,248 and 237,952 is: 513,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,248 : 237,952 = 237,952 : x
  2. Step 2: Convert to fraction form
    110,248/237,952 = 237,952/x
  3. Step 3: Cross multiply
    110,248x = 237,952 × 237,952
  4. Step 4: Simplify right side
    110,248x = 56,621,154,304
  5. Step 5: Solve for x
    x = 56,621,154,304/110,248
  6. Step 6: Final answer
    x = 513,579.88

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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.