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Finding the Third Proportional to 175,146 and 385,284

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Solution

The third proportional to 175,146 and 385,284 is: 847,542.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,146 : 385,284 = 385,284 : x
  2. Step 2: Convert to fraction form
    175,146/385,284 = 385,284/x
  3. Step 3: Cross multiply
    175,146x = 385,284 × 385,284
  4. Step 4: Simplify right side
    175,146x = 148,443,760,656
  5. Step 5: Solve for x
    x = 148,443,760,656/175,146
  6. Step 6: Final answer
    x = 847,542.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.