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Finding the Third Proportional to 164,047.13 and 234,587.25

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Solution

The third proportional to 164,047.13 and 234,587.25 is: 335,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,047.13 : 234,587.25 = 234,587.25 : x
  2. Step 2: Convert to fraction form
    164,047.13/234,587.25 = 234,587.25/x
  3. Step 3: Cross multiply
    164,047.13x = 234,587.25 × 234,587.25
  4. Step 4: Simplify right side
    164,047.13x = 55,031,177,862.56
  5. Step 5: Solve for x
    x = 55,031,177,862.56/164,047.13
  6. Step 6: Final answer
    x = 335,459.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.