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Finding the Third Proportional to 119,960.50 and 254,681

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Solution

The third proportional to 119,960.50 and 254,681 is: 540,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,960.50 : 254,681 = 254,681 : x
  2. Step 2: Convert to fraction form
    119,960.50/254,681 = 254,681/x
  3. Step 3: Cross multiply
    119,960.50x = 254,681 × 254,681
  4. Step 4: Simplify right side
    119,960.50x = 64,862,411,761
  5. Step 5: Solve for x
    x = 64,862,411,761/119,960.50
  6. Step 6: Final answer
    x = 540,698.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.