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Finding the Third Proportional to 74,409.75 and 160,482.38

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Solution

The third proportional to 74,409.75 and 160,482.38 is: 346,118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,409.75 : 160,482.38 = 160,482.38 : x
  2. Step 2: Convert to fraction form
    74,409.75/160,482.38 = 160,482.38/x
  3. Step 3: Cross multiply
    74,409.75x = 160,482.38 × 160,482.38
  4. Step 4: Simplify right side
    74,409.75x = 25,754,592,685.64
  5. Step 5: Solve for x
    x = 25,754,592,685.64/74,409.75
  6. Step 6: Final answer
    x = 346,118.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.