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Finding the Third Proportional to 158,606 and 233,527

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Solution

The third proportional to 158,606 and 233,527 is: 343,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,606 : 233,527 = 233,527 : x
  2. Step 2: Convert to fraction form
    158,606/233,527 = 233,527/x
  3. Step 3: Cross multiply
    158,606x = 233,527 × 233,527
  4. Step 4: Simplify right side
    158,606x = 54,534,859,729
  5. Step 5: Solve for x
    x = 54,534,859,729/158,606
  6. Step 6: Final answer
    x = 343,838.57

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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.