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Finding the Third Proportional to 140,909.63 and 248,346

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Solution

The third proportional to 140,909.63 and 248,346 is: 437,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,909.63 : 248,346 = 248,346 : x
  2. Step 2: Convert to fraction form
    140,909.63/248,346 = 248,346/x
  3. Step 3: Cross multiply
    140,909.63x = 248,346 × 248,346
  4. Step 4: Simplify right side
    140,909.63x = 61,675,735,716
  5. Step 5: Solve for x
    x = 61,675,735,716/140,909.63
  6. Step 6: Final answer
    x = 437,697.11

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.