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Finding the Third Proportional to 158,616 and 233,540

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Solution

The third proportional to 158,616 and 233,540 is: 343,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,616 : 233,540 = 233,540 : x
  2. Step 2: Convert to fraction form
    158,616/233,540 = 233,540/x
  3. Step 3: Cross multiply
    158,616x = 233,540 × 233,540
  4. Step 4: Simplify right side
    158,616x = 54,540,931,600
  5. Step 5: Solve for x
    x = 54,540,931,600/158,616
  6. Step 6: Final answer
    x = 343,855.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.