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Finding the Third Proportional to 198,897 and 429,566.25

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Solution

The third proportional to 198,897 and 429,566.25 is: 927,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,897 : 429,566.25 = 429,566.25 : x
  2. Step 2: Convert to fraction form
    198,897/429,566.25 = 429,566.25/x
  3. Step 3: Cross multiply
    198,897x = 429,566.25 × 429,566.25
  4. Step 4: Simplify right side
    198,897x = 184,527,163,139.06
  5. Step 5: Solve for x
    x = 184,527,163,139.06/198,897
  6. Step 6: Final answer
    x = 927,752.37

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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.