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Finding the Third Proportional to 145,712 and 231,696

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Solution

The third proportional to 145,712 and 231,696 is: 368,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,712 : 231,696 = 231,696 : x
  2. Step 2: Convert to fraction form
    145,712/231,696 = 231,696/x
  3. Step 3: Cross multiply
    145,712x = 231,696 × 231,696
  4. Step 4: Simplify right side
    145,712x = 53,683,036,416
  5. Step 5: Solve for x
    x = 53,683,036,416/145,712
  6. Step 6: Final answer
    x = 368,418.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.