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Finding the Third Proportional to 141,341 and 307,222

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Solution

The third proportional to 141,341 and 307,222 is: 667,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,341 : 307,222 = 307,222 : x
  2. Step 2: Convert to fraction form
    141,341/307,222 = 307,222/x
  3. Step 3: Cross multiply
    141,341x = 307,222 × 307,222
  4. Step 4: Simplify right side
    141,341x = 94,385,357,284
  5. Step 5: Solve for x
    x = 94,385,357,284/141,341
  6. Step 6: Final answer
    x = 667,784.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.