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Finding the Third Proportional to 148,540 and 309,316

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Solution

The third proportional to 148,540 and 309,316 is: 644,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,540 : 309,316 = 309,316 : x
  2. Step 2: Convert to fraction form
    148,540/309,316 = 309,316/x
  3. Step 3: Cross multiply
    148,540x = 309,316 × 309,316
  4. Step 4: Simplify right side
    148,540x = 95,676,387,856
  5. Step 5: Solve for x
    x = 95,676,387,856/148,540
  6. Step 6: Final answer
    x = 644,111.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.