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Finding the Third Proportional to 137,182.50 and 299,502

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Solution

The third proportional to 137,182.50 and 299,502 is: 653,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,182.50 : 299,502 = 299,502 : x
  2. Step 2: Convert to fraction form
    137,182.50/299,502 = 299,502/x
  3. Step 3: Cross multiply
    137,182.50x = 299,502 × 299,502
  4. Step 4: Simplify right side
    137,182.50x = 89,701,448,004
  5. Step 5: Solve for x
    x = 89,701,448,004/137,182.50
  6. Step 6: Final answer
    x = 653,884.05

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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.