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Finding the Third Proportional to 140,813.16 and 293,275.13

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Solution

The third proportional to 140,813.16 and 293,275.13 is: 610,811.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,813.16 : 293,275.13 = 293,275.13 : x
  2. Step 2: Convert to fraction form
    140,813.16/293,275.13 = 293,275.13/x
  3. Step 3: Cross multiply
    140,813.16x = 293,275.13 × 293,275.13
  4. Step 4: Simplify right side
    140,813.16x = 86,010,298,943.77
  5. Step 5: Solve for x
    x = 86,010,298,943.77/140,813.16
  6. Step 6: Final answer
    x = 610,811.53

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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.