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Finding the Third Proportional to 146,588 and 319,407

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Solution

The third proportional to 146,588 and 319,407 is: 695,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,588 : 319,407 = 319,407 : x
  2. Step 2: Convert to fraction form
    146,588/319,407 = 319,407/x
  3. Step 3: Cross multiply
    146,588x = 319,407 × 319,407
  4. Step 4: Simplify right side
    146,588x = 102,020,831,649
  5. Step 5: Solve for x
    x = 102,020,831,649/146,588
  6. Step 6: Final answer
    x = 695,969.87

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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.