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Finding the Third Proportional to 195,970 and 429,291

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Solution

The third proportional to 195,970 and 429,291 is: 940,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,970 : 429,291 = 429,291 : x
  2. Step 2: Convert to fraction form
    195,970/429,291 = 429,291/x
  3. Step 3: Cross multiply
    195,970x = 429,291 × 429,291
  4. Step 4: Simplify right side
    195,970x = 184,290,762,681
  5. Step 5: Solve for x
    x = 184,290,762,681/195,970
  6. Step 6: Final answer
    x = 940,402.93

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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.