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Finding the Third Proportional to 130,937.50 and 279,047

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Solution

The third proportional to 130,937.50 and 279,047 is: 594,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,937.50 : 279,047 = 279,047 : x
  2. Step 2: Convert to fraction form
    130,937.50/279,047 = 279,047/x
  3. Step 3: Cross multiply
    130,937.50x = 279,047 × 279,047
  4. Step 4: Simplify right side
    130,937.50x = 77,867,228,209
  5. Step 5: Solve for x
    x = 77,867,228,209/130,937.50
  6. Step 6: Final answer
    x = 594,690.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.