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Finding the Third Proportional to 140,646.38 and 307,688.63

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Solution

The third proportional to 140,646.38 and 307,688.63 is: 673,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,646.38 : 307,688.63 = 307,688.63 : x
  2. Step 2: Convert to fraction form
    140,646.38/307,688.63 = 307,688.63/x
  3. Step 3: Cross multiply
    140,646.38x = 307,688.63 × 307,688.63
  4. Step 4: Simplify right side
    140,646.38x = 94,672,289,954.39
  5. Step 5: Solve for x
    x = 94,672,289,954.39/140,646.38
  6. Step 6: Final answer
    x = 673,122.86

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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.