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Finding the Third Proportional to 160,501.50 and 230,060.25

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Solution

The third proportional to 160,501.50 and 230,060.25 is: 329,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,501.50 : 230,060.25 = 230,060.25 : x
  2. Step 2: Convert to fraction form
    160,501.50/230,060.25 = 230,060.25/x
  3. Step 3: Cross multiply
    160,501.50x = 230,060.25 × 230,060.25
  4. Step 4: Simplify right side
    160,501.50x = 52,927,718,630.06
  5. Step 5: Solve for x
    x = 52,927,718,630.06/160,501.50
  6. Step 6: Final answer
    x = 329,764.64

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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.