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Finding the Third Proportional to 134,423.72 and 293,302.69

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Solution

The third proportional to 134,423.72 and 293,302.69 is: 639,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,423.72 : 293,302.69 = 293,302.69 : x
  2. Step 2: Convert to fraction form
    134,423.72/293,302.69 = 293,302.69/x
  3. Step 3: Cross multiply
    134,423.72x = 293,302.69 × 293,302.69
  4. Step 4: Simplify right side
    134,423.72x = 86,026,466,494.72
  5. Step 5: Solve for x
    x = 86,026,466,494.72/134,423.72
  6. Step 6: Final answer
    x = 639,964.94

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