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Finding the Third Proportional to 152,024 and 235,416

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Solution

The third proportional to 152,024 and 235,416 is: 364,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,024 : 235,416 = 235,416 : x
  2. Step 2: Convert to fraction form
    152,024/235,416 = 235,416/x
  3. Step 3: Cross multiply
    152,024x = 235,416 × 235,416
  4. Step 4: Simplify right side
    152,024x = 55,420,693,056
  5. Step 5: Solve for x
    x = 55,420,693,056/152,024
  6. Step 6: Final answer
    x = 364,552.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.