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Finding the Third Proportional to 145,713 and 224,799

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Solution

The third proportional to 145,713 and 224,799 is: 346,809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,713 : 224,799 = 224,799 : x
  2. Step 2: Convert to fraction form
    145,713/224,799 = 224,799/x
  3. Step 3: Cross multiply
    145,713x = 224,799 × 224,799
  4. Step 4: Simplify right side
    145,713x = 50,534,590,401
  5. Step 5: Solve for x
    x = 50,534,590,401/145,713
  6. Step 6: Final answer
    x = 346,809.07

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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.