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Finding the Third Proportional to 152,532 and 230,769

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Solution

The third proportional to 152,532 and 230,769 is: 349,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,532 : 230,769 = 230,769 : x
  2. Step 2: Convert to fraction form
    152,532/230,769 = 230,769/x
  3. Step 3: Cross multiply
    152,532x = 230,769 × 230,769
  4. Step 4: Simplify right side
    152,532x = 53,254,331,361
  5. Step 5: Solve for x
    x = 53,254,331,361/152,532
  6. Step 6: Final answer
    x = 349,135.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.