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Finding the Third Proportional to 157,797 and 216,931.50

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Solution

The third proportional to 157,797 and 216,931.50 is: 298,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,797 : 216,931.50 = 216,931.50 : x
  2. Step 2: Convert to fraction form
    157,797/216,931.50 = 216,931.50/x
  3. Step 3: Cross multiply
    157,797x = 216,931.50 × 216,931.50
  4. Step 4: Simplify right side
    157,797x = 47,059,275,692.25
  5. Step 5: Solve for x
    x = 47,059,275,692.25/157,797
  6. Step 6: Final answer
    x = 298,226.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.