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Finding the Third Proportional to 158,850.84 and 343,513.13

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Solution

The third proportional to 158,850.84 and 343,513.13 is: 742,843.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,850.84 : 343,513.13 = 343,513.13 : x
  2. Step 2: Convert to fraction form
    158,850.84/343,513.13 = 343,513.13/x
  3. Step 3: Cross multiply
    158,850.84x = 343,513.13 × 343,513.13
  4. Step 4: Simplify right side
    158,850.84x = 118,001,267,047.27
  5. Step 5: Solve for x
    x = 118,001,267,047.27/158,850.84
  6. Step 6: Final answer
    x = 742,843.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.