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Finding the Third Proportional to 232,430 and 359,157

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Solution

The third proportional to 232,430 and 359,157 is: 554,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,430 : 359,157 = 359,157 : x
  2. Step 2: Convert to fraction form
    232,430/359,157 = 359,157/x
  3. Step 3: Cross multiply
    232,430x = 359,157 × 359,157
  4. Step 4: Simplify right side
    232,430x = 128,993,750,649
  5. Step 5: Solve for x
    x = 128,993,750,649/232,430
  6. Step 6: Final answer
    x = 554,978.92

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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.