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Finding the Third Proportional to 145,160 and 228,110

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Solution

The third proportional to 145,160 and 228,110 is: 358,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,160 : 228,110 = 228,110 : x
  2. Step 2: Convert to fraction form
    145,160/228,110 = 228,110/x
  3. Step 3: Cross multiply
    145,160x = 228,110 × 228,110
  4. Step 4: Simplify right side
    145,160x = 52,034,172,100
  5. Step 5: Solve for x
    x = 52,034,172,100/145,160
  6. Step 6: Final answer
    x = 358,460.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.