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Finding the Third Proportional to 140,557.50 and 302,607

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Solution

The third proportional to 140,557.50 and 302,607 is: 651,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,557.50 : 302,607 = 302,607 : x
  2. Step 2: Convert to fraction form
    140,557.50/302,607 = 302,607/x
  3. Step 3: Cross multiply
    140,557.50x = 302,607 × 302,607
  4. Step 4: Simplify right side
    140,557.50x = 91,570,996,449
  5. Step 5: Solve for x
    x = 91,570,996,449/140,557.50
  6. Step 6: Final answer
    x = 651,484.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.