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Finding the Third Proportional to 216,748.41 and 345,189.09

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Solution

The third proportional to 216,748.41 and 345,189.09 is: 549,741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,748.41 : 345,189.09 = 345,189.09 : x
  2. Step 2: Convert to fraction form
    216,748.41/345,189.09 = 345,189.09/x
  3. Step 3: Cross multiply
    216,748.41x = 345,189.09 × 345,189.09
  4. Step 4: Simplify right side
    216,748.41x = 119,155,510,443.95
  5. Step 5: Solve for x
    x = 119,155,510,443.95/216,748.41
  6. Step 6: Final answer
    x = 549,741.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.