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Finding the Third Proportional to 195,697.69 and 424,603.69

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Solution

The third proportional to 195,697.69 and 424,603.69 is: 921,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,697.69 : 424,603.69 = 424,603.69 : x
  2. Step 2: Convert to fraction form
    195,697.69/424,603.69 = 424,603.69/x
  3. Step 3: Cross multiply
    195,697.69x = 424,603.69 × 424,603.69
  4. Step 4: Simplify right side
    195,697.69x = 180,288,291,438.60
  5. Step 5: Solve for x
    x = 180,288,291,438.60/195,697.69
  6. Step 6: Final answer
    x = 921,259.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.