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Finding the Third Proportional to 74,459.25 and 162,303.75

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Solution

The third proportional to 74,459.25 and 162,303.75 is: 353,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,459.25 : 162,303.75 = 162,303.75 : x
  2. Step 2: Convert to fraction form
    74,459.25/162,303.75 = 162,303.75/x
  3. Step 3: Cross multiply
    74,459.25x = 162,303.75 × 162,303.75
  4. Step 4: Simplify right side
    74,459.25x = 26,342,507,264.06
  5. Step 5: Solve for x
    x = 26,342,507,264.06/74,459.25
  6. Step 6: Final answer
    x = 353,784.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.