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Finding the Third Proportional to 162,274.50 and 354,073.50

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Solution

The third proportional to 162,274.50 and 354,073.50 is: 772,567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,274.50 : 354,073.50 = 354,073.50 : x
  2. Step 2: Convert to fraction form
    162,274.50/354,073.50 = 354,073.50/x
  3. Step 3: Cross multiply
    162,274.50x = 354,073.50 × 354,073.50
  4. Step 4: Simplify right side
    162,274.50x = 125,368,043,402.25
  5. Step 5: Solve for x
    x = 125,368,043,402.25/162,274.50
  6. Step 6: Final answer
    x = 772,567.74

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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.