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Finding the Third Proportional to 130,502 and 279,952

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Solution

The third proportional to 130,502 and 279,952 is: 600,551.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,502 : 279,952 = 279,952 : x
  2. Step 2: Convert to fraction form
    130,502/279,952 = 279,952/x
  3. Step 3: Cross multiply
    130,502x = 279,952 × 279,952
  4. Step 4: Simplify right side
    130,502x = 78,373,122,304
  5. Step 5: Solve for x
    x = 78,373,122,304/130,502
  6. Step 6: Final answer
    x = 600,551.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.