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Finding the Third Proportional to 175,255 and 380,034

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Solution

The third proportional to 175,255 and 380,034 is: 824,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,255 : 380,034 = 380,034 : x
  2. Step 2: Convert to fraction form
    175,255/380,034 = 380,034/x
  3. Step 3: Cross multiply
    175,255x = 380,034 × 380,034
  4. Step 4: Simplify right side
    175,255x = 144,425,841,156
  5. Step 5: Solve for x
    x = 144,425,841,156/175,255
  6. Step 6: Final answer
    x = 824,089.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.