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Finding the Third Proportional to 140,658 and 303,312

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Solution

The third proportional to 140,658 and 303,312 is: 654,055.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,658 : 303,312 = 303,312 : x
  2. Step 2: Convert to fraction form
    140,658/303,312 = 303,312/x
  3. Step 3: Cross multiply
    140,658x = 303,312 × 303,312
  4. Step 4: Simplify right side
    140,658x = 91,998,169,344
  5. Step 5: Solve for x
    x = 91,998,169,344/140,658
  6. Step 6: Final answer
    x = 654,055.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.