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Finding the Third Proportional to 88,750 and 194,510

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Solution

The third proportional to 88,750 and 194,510 is: 426,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,750 : 194,510 = 194,510 : x
  2. Step 2: Convert to fraction form
    88,750/194,510 = 194,510/x
  3. Step 3: Cross multiply
    88,750x = 194,510 × 194,510
  4. Step 4: Simplify right side
    88,750x = 37,834,140,100
  5. Step 5: Solve for x
    x = 37,834,140,100/88,750
  6. Step 6: Final answer
    x = 426,300.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.