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Finding the Third Proportional to 254,242.13 and 345,291.19

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Solution

The third proportional to 254,242.13 and 345,291.19 is: 468,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,242.13 : 345,291.19 = 345,291.19 : x
  2. Step 2: Convert to fraction form
    254,242.13/345,291.19 = 345,291.19/x
  3. Step 3: Cross multiply
    254,242.13x = 345,291.19 × 345,291.19
  4. Step 4: Simplify right side
    254,242.13x = 119,226,004,165.16
  5. Step 5: Solve for x
    x = 119,226,004,165.16/254,242.13
  6. Step 6: Final answer
    x = 468,946.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.