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Finding the Third Proportional to 134,763.75 and 293,432.63

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Solution

The third proportional to 134,763.75 and 293,432.63 is: 638,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,763.75 : 293,432.63 = 293,432.63 : x
  2. Step 2: Convert to fraction form
    134,763.75/293,432.63 = 293,432.63/x
  3. Step 3: Cross multiply
    134,763.75x = 293,432.63 × 293,432.63
  4. Step 4: Simplify right side
    134,763.75x = 86,102,705,414.39
  5. Step 5: Solve for x
    x = 86,102,705,414.39/134,763.75
  6. Step 6: Final answer
    x = 638,915.92

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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.