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Finding the Third Proportional to 254,697 and 344,677.50

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Solution

The third proportional to 254,697 and 344,677.50 is: 466,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,697 : 344,677.50 = 344,677.50 : x
  2. Step 2: Convert to fraction form
    254,697/344,677.50 = 344,677.50/x
  3. Step 3: Cross multiply
    254,697x = 344,677.50 × 344,677.50
  4. Step 4: Simplify right side
    254,697x = 118,802,579,006.25
  5. Step 5: Solve for x
    x = 118,802,579,006.25/254,697
  6. Step 6: Final answer
    x = 466,446.72

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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.