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Finding the Third Proportional to 225,770 and 349,773

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Solution

The third proportional to 225,770 and 349,773 is: 541,884.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,770 : 349,773 = 349,773 : x
  2. Step 2: Convert to fraction form
    225,770/349,773 = 349,773/x
  3. Step 3: Cross multiply
    225,770x = 349,773 × 349,773
  4. Step 4: Simplify right side
    225,770x = 122,341,151,529
  5. Step 5: Solve for x
    x = 122,341,151,529/225,770
  6. Step 6: Final answer
    x = 541,884.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.