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Finding the Third Proportional to 134,770 and 224,623

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Solution

The third proportional to 134,770 and 224,623 is: 374,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,770 : 224,623 = 224,623 : x
  2. Step 2: Convert to fraction form
    134,770/224,623 = 224,623/x
  3. Step 3: Cross multiply
    134,770x = 224,623 × 224,623
  4. Step 4: Simplify right side
    134,770x = 50,455,492,129
  5. Step 5: Solve for x
    x = 50,455,492,129/134,770
  6. Step 6: Final answer
    x = 374,382.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.