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Finding the Third Proportional to 134,447 and 293,518

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Solution

The third proportional to 134,447 and 293,518 is: 640,793.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,447 : 293,518 = 293,518 : x
  2. Step 2: Convert to fraction form
    134,447/293,518 = 293,518/x
  3. Step 3: Cross multiply
    134,447x = 293,518 × 293,518
  4. Step 4: Simplify right side
    134,447x = 86,152,816,324
  5. Step 5: Solve for x
    x = 86,152,816,324/134,447
  6. Step 6: Final answer
    x = 640,793.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.