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Finding the Third Proportional to 141,329.18 and 307,567.76

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Solution

The third proportional to 141,329.18 and 307,567.76 is: 669,344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,329.18 : 307,567.76 = 307,567.76 : x
  2. Step 2: Convert to fraction form
    141,329.18/307,567.76 = 307,567.76/x
  3. Step 3: Cross multiply
    141,329.18x = 307,567.76 × 307,567.76
  4. Step 4: Simplify right side
    141,329.18x = 94,597,925,645.81
  5. Step 5: Solve for x
    x = 94,597,925,645.81/141,329.18
  6. Step 6: Final answer
    x = 669,344.62

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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.