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Finding the Third Proportional to 158,613 and 233,535

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Solution

The third proportional to 158,613 and 233,535 is: 343,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,613 : 233,535 = 233,535 : x
  2. Step 2: Convert to fraction form
    158,613/233,535 = 233,535/x
  3. Step 3: Cross multiply
    158,613x = 233,535 × 233,535
  4. Step 4: Simplify right side
    158,613x = 54,538,596,225
  5. Step 5: Solve for x
    x = 54,538,596,225/158,613
  6. Step 6: Final answer
    x = 343,846.95

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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.