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Finding the Third Proportional to 145,959 and 313,746

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Solution

The third proportional to 145,959 and 313,746 is: 674,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,959 : 313,746 = 313,746 : x
  2. Step 2: Convert to fraction form
    145,959/313,746 = 313,746/x
  3. Step 3: Cross multiply
    145,959x = 313,746 × 313,746
  4. Step 4: Simplify right side
    145,959x = 98,436,552,516
  5. Step 5: Solve for x
    x = 98,436,552,516/145,959
  6. Step 6: Final answer
    x = 674,412.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.