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Finding the Third Proportional to 254,674.13 and 344,641.50

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Solution

The third proportional to 254,674.13 and 344,641.50 is: 466,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,674.13 : 344,641.50 = 344,641.50 : x
  2. Step 2: Convert to fraction form
    254,674.13/344,641.50 = 344,641.50/x
  3. Step 3: Cross multiply
    254,674.13x = 344,641.50 × 344,641.50
  4. Step 4: Simplify right side
    254,674.13x = 118,777,763,522.25
  5. Step 5: Solve for x
    x = 118,777,763,522.25/254,674.13
  6. Step 6: Final answer
    x = 466,391.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.