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Finding the Third Proportional to 193,062 and 292,087.13

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Solution

The third proportional to 193,062 and 292,087.13 is: 441,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,062 : 292,087.13 = 292,087.13 : x
  2. Step 2: Convert to fraction form
    193,062/292,087.13 = 292,087.13/x
  3. Step 3: Cross multiply
    193,062x = 292,087.13 × 292,087.13
  4. Step 4: Simplify right side
    193,062x = 85,314,888,590.77
  5. Step 5: Solve for x
    x = 85,314,888,590.77/193,062
  6. Step 6: Final answer
    x = 441,904.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.