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Finding the Third Proportional to 198,895.50 and 429,297.47

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Solution

The third proportional to 198,895.50 and 429,297.47 is: 926,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,895.50 : 429,297.47 = 429,297.47 : x
  2. Step 2: Convert to fraction form
    198,895.50/429,297.47 = 429,297.47/x
  3. Step 3: Cross multiply
    198,895.50x = 429,297.47 × 429,297.47
  4. Step 4: Simplify right side
    198,895.50x = 184,296,316,675.16
  5. Step 5: Solve for x
    x = 184,296,316,675.16/198,895.50
  6. Step 6: Final answer
    x = 926,598.72

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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.