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Finding the Third Proportional to 224,044 and 354,934

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Solution

The third proportional to 224,044 and 354,934 is: 562,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,044 : 354,934 = 354,934 : x
  2. Step 2: Convert to fraction form
    224,044/354,934 = 354,934/x
  3. Step 3: Cross multiply
    224,044x = 354,934 × 354,934
  4. Step 4: Simplify right side
    224,044x = 125,978,144,356
  5. Step 5: Solve for x
    x = 125,978,144,356/224,044
  6. Step 6: Final answer
    x = 562,291.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.