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Finding the Third Proportional to 194,041.13 and 424,153.88

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Solution

The third proportional to 194,041.13 and 424,153.88 is: 927,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,041.13 : 424,153.88 = 424,153.88 : x
  2. Step 2: Convert to fraction form
    194,041.13/424,153.88 = 424,153.88/x
  3. Step 3: Cross multiply
    194,041.13x = 424,153.88 × 424,153.88
  4. Step 4: Simplify right side
    194,041.13x = 179,906,509,677.52
  5. Step 5: Solve for x
    x = 179,906,509,677.52/194,041.13
  6. Step 6: Final answer
    x = 927,156.60

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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.