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Finding the Third Proportional to 158,630 and 233,559

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Solution

The third proportional to 158,630 and 233,559 is: 343,880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,630 : 233,559 = 233,559 : x
  2. Step 2: Convert to fraction form
    158,630/233,559 = 233,559/x
  3. Step 3: Cross multiply
    158,630x = 233,559 × 233,559
  4. Step 4: Simplify right side
    158,630x = 54,549,806,481
  5. Step 5: Solve for x
    x = 54,549,806,481/158,630
  6. Step 6: Final answer
    x = 343,880.77

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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.