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Finding the Third Proportional to 141,339 and 307,596

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Solution

The third proportional to 141,339 and 307,596 is: 669,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,339 : 307,596 = 307,596 : x
  2. Step 2: Convert to fraction form
    141,339/307,596 = 307,596/x
  3. Step 3: Cross multiply
    141,339x = 307,596 × 307,596
  4. Step 4: Simplify right side
    141,339x = 94,615,299,216
  5. Step 5: Solve for x
    x = 94,615,299,216/141,339
  6. Step 6: Final answer
    x = 669,421.03

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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.