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Finding the Third Proportional to 154,186.50 and 176,331

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Solution

The third proportional to 154,186.50 and 176,331 is: 201,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,186.50 : 176,331 = 176,331 : x
  2. Step 2: Convert to fraction form
    154,186.50/176,331 = 176,331/x
  3. Step 3: Cross multiply
    154,186.50x = 176,331 × 176,331
  4. Step 4: Simplify right side
    154,186.50x = 31,092,621,561
  5. Step 5: Solve for x
    x = 31,092,621,561/154,186.50
  6. Step 6: Final answer
    x = 201,655.93

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.