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Finding the Third Proportional to 141,426 and 307,746

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Solution

The third proportional to 141,426 and 307,746 is: 669,661.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,426 : 307,746 = 307,746 : x
  2. Step 2: Convert to fraction form
    141,426/307,746 = 307,746/x
  3. Step 3: Cross multiply
    141,426x = 307,746 × 307,746
  4. Step 4: Simplify right side
    141,426x = 94,707,600,516
  5. Step 5: Solve for x
    x = 94,707,600,516/141,426
  6. Step 6: Final answer
    x = 669,661.88

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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.