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Finding the Third Proportional to 272,098.50 and 429,012

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Solution

The third proportional to 272,098.50 and 429,012 is: 676,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,098.50 : 429,012 = 429,012 : x
  2. Step 2: Convert to fraction form
    272,098.50/429,012 = 429,012/x
  3. Step 3: Cross multiply
    272,098.50x = 429,012 × 429,012
  4. Step 4: Simplify right side
    272,098.50x = 184,051,296,144
  5. Step 5: Solve for x
    x = 184,051,296,144/272,098.50
  6. Step 6: Final answer
    x = 676,414.23

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.