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Finding the Third Proportional to 151,023 and 211,700.50

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Solution

The third proportional to 151,023 and 211,700.50 is: 296,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,023 : 211,700.50 = 211,700.50 : x
  2. Step 2: Convert to fraction form
    151,023/211,700.50 = 211,700.50/x
  3. Step 3: Cross multiply
    151,023x = 211,700.50 × 211,700.50
  4. Step 4: Simplify right side
    151,023x = 44,817,101,700.25
  5. Step 5: Solve for x
    x = 44,817,101,700.25/151,023
  6. Step 6: Final answer
    x = 296,756.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.