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Finding the Third Proportional to 141,210 and 301,356

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Solution

The third proportional to 141,210 and 301,356 is: 643,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,210 : 301,356 = 301,356 : x
  2. Step 2: Convert to fraction form
    141,210/301,356 = 301,356/x
  3. Step 3: Cross multiply
    141,210x = 301,356 × 301,356
  4. Step 4: Simplify right side
    141,210x = 90,815,438,736
  5. Step 5: Solve for x
    x = 90,815,438,736/141,210
  6. Step 6: Final answer
    x = 643,123.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.