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Finding the Third Proportional to 161,851.50 and 236,911.50

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Solution

The third proportional to 161,851.50 and 236,911.50 is: 346,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,851.50 : 236,911.50 = 236,911.50 : x
  2. Step 2: Convert to fraction form
    161,851.50/236,911.50 = 236,911.50/x
  3. Step 3: Cross multiply
    161,851.50x = 236,911.50 × 236,911.50
  4. Step 4: Simplify right side
    161,851.50x = 56,127,058,832.25
  5. Step 5: Solve for x
    x = 56,127,058,832.25/161,851.50
  6. Step 6: Final answer
    x = 346,781.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.