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Finding the Third Proportional to 224,358 and 338,265

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Solution

The third proportional to 224,358 and 338,265 is: 510,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,358 : 338,265 = 338,265 : x
  2. Step 2: Convert to fraction form
    224,358/338,265 = 338,265/x
  3. Step 3: Cross multiply
    224,358x = 338,265 × 338,265
  4. Step 4: Simplify right side
    224,358x = 114,423,210,225
  5. Step 5: Solve for x
    x = 114,423,210,225/224,358
  6. Step 6: Final answer
    x = 510,002.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.