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Finding the Third Proportional to 198,913.50 and 429,588

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Solution

The third proportional to 198,913.50 and 429,588 is: 927,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,913.50 : 429,588 = 429,588 : x
  2. Step 2: Convert to fraction form
    198,913.50/429,588 = 429,588/x
  3. Step 3: Cross multiply
    198,913.50x = 429,588 × 429,588
  4. Step 4: Simplify right side
    198,913.50x = 184,545,849,744
  5. Step 5: Solve for x
    x = 184,545,849,744/198,913.50
  6. Step 6: Final answer
    x = 927,769.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.