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Finding the Third Proportional to 140,345.44 and 306,934.88

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Solution

The third proportional to 140,345.44 and 306,934.88 is: 671,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,345.44 : 306,934.88 = 306,934.88 : x
  2. Step 2: Convert to fraction form
    140,345.44/306,934.88 = 306,934.88/x
  3. Step 3: Cross multiply
    140,345.44x = 306,934.88 × 306,934.88
  4. Step 4: Simplify right side
    140,345.44x = 94,209,017,491.27
  5. Step 5: Solve for x
    x = 94,209,017,491.27/140,345.44
  6. Step 6: Final answer
    x = 671,265.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.