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Finding the Third Proportional to 140,955 and 307,357.13

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Solution

The third proportional to 140,955 and 307,357.13 is: 670,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,955 : 307,357.13 = 307,357.13 : x
  2. Step 2: Convert to fraction form
    140,955/307,357.13 = 307,357.13/x
  3. Step 3: Cross multiply
    140,955x = 307,357.13 × 307,357.13
  4. Step 4: Simplify right side
    140,955x = 94,468,402,288.27
  5. Step 5: Solve for x
    x = 94,468,402,288.27/140,955
  6. Step 6: Final answer
    x = 670,202.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.