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Finding the Third Proportional to 193,006.13 and 423,400.50

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Solution

The third proportional to 193,006.13 and 423,400.50 is: 928,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,006.13 : 423,400.50 = 423,400.50 : x
  2. Step 2: Convert to fraction form
    193,006.13/423,400.50 = 423,400.50/x
  3. Step 3: Cross multiply
    193,006.13x = 423,400.50 × 423,400.50
  4. Step 4: Simplify right side
    193,006.13x = 179,267,983,400.25
  5. Step 5: Solve for x
    x = 179,267,983,400.25/193,006.13
  6. Step 6: Final answer
    x = 928,820.18

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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.