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Finding the Third Proportional to 160,815.75 and 235,852.13

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Solution

The third proportional to 160,815.75 and 235,852.13 is: 345,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,815.75 : 235,852.13 = 235,852.13 : x
  2. Step 2: Convert to fraction form
    160,815.75/235,852.13 = 235,852.13/x
  3. Step 3: Cross multiply
    160,815.75x = 235,852.13 × 235,852.13
  4. Step 4: Simplify right side
    160,815.75x = 55,626,224,867.02
  5. Step 5: Solve for x
    x = 55,626,224,867.02/160,815.75
  6. Step 6: Final answer
    x = 345,900.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.