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Finding the Third Proportional to 145,184 and 228,156

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Solution

The third proportional to 145,184 and 228,156 is: 358,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,184 : 228,156 = 228,156 : x
  2. Step 2: Convert to fraction form
    145,184/228,156 = 228,156/x
  3. Step 3: Cross multiply
    145,184x = 228,156 × 228,156
  4. Step 4: Simplify right side
    145,184x = 52,055,160,336
  5. Step 5: Solve for x
    x = 52,055,160,336/145,184
  6. Step 6: Final answer
    x = 358,546.12

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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.