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Finding the Third Proportional to 224,331 and 344,810.25

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Solution

The third proportional to 224,331 and 344,810.25 is: 529,994.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,331 : 344,810.25 = 344,810.25 : x
  2. Step 2: Convert to fraction form
    224,331/344,810.25 = 344,810.25/x
  3. Step 3: Cross multiply
    224,331x = 344,810.25 × 344,810.25
  4. Step 4: Simplify right side
    224,331x = 118,894,108,505.06
  5. Step 5: Solve for x
    x = 118,894,108,505.06/224,331
  6. Step 6: Final answer
    x = 529,994.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.