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Finding the Third Proportional to 134,733.69 and 293,387.70

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Solution

The third proportional to 134,733.69 and 293,387.70 is: 638,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,733.69 : 293,387.70 = 293,387.70 : x
  2. Step 2: Convert to fraction form
    134,733.69/293,387.70 = 293,387.70/x
  3. Step 3: Cross multiply
    134,733.69x = 293,387.70 × 293,387.70
  4. Step 4: Simplify right side
    134,733.69x = 86,076,339,760.78
  5. Step 5: Solve for x
    x = 86,076,339,760.78/134,733.69
  6. Step 6: Final answer
    x = 638,862.77

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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.