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Finding the Third Proportional to 134,839 and 293,461.50

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Solution

The third proportional to 134,839 and 293,461.50 is: 638,685.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,839 : 293,461.50 = 293,461.50 : x
  2. Step 2: Convert to fraction form
    134,839/293,461.50 = 293,461.50/x
  3. Step 3: Cross multiply
    134,839x = 293,461.50 × 293,461.50
  4. Step 4: Simplify right side
    134,839x = 86,119,651,982.25
  5. Step 5: Solve for x
    x = 86,119,651,982.25/134,839
  6. Step 6: Final answer
    x = 638,685.04

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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.