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Finding the Third Proportional to 150,196 and 232,484

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Solution

The third proportional to 150,196 and 232,484 is: 359,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,196 : 232,484 = 232,484 : x
  2. Step 2: Convert to fraction form
    150,196/232,484 = 232,484/x
  3. Step 3: Cross multiply
    150,196x = 232,484 × 232,484
  4. Step 4: Simplify right side
    150,196x = 54,048,810,256
  5. Step 5: Solve for x
    x = 54,048,810,256/150,196
  6. Step 6: Final answer
    x = 359,855.19

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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.