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Finding the Third Proportional to 162,494.06 and 362,330.25

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Solution

The third proportional to 162,494.06 and 362,330.25 is: 807,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,494.06 : 362,330.25 = 362,330.25 : x
  2. Step 2: Convert to fraction form
    162,494.06/362,330.25 = 362,330.25/x
  3. Step 3: Cross multiply
    162,494.06x = 362,330.25 × 362,330.25
  4. Step 4: Simplify right side
    162,494.06x = 131,283,210,065.06
  5. Step 5: Solve for x
    x = 131,283,210,065.06/162,494.06
  6. Step 6: Final answer
    x = 807,926.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.