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Finding the Third Proportional to 137,044 and 205,570

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Solution

The third proportional to 137,044 and 205,570 is: 308,361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,044 : 205,570 = 205,570 : x
  2. Step 2: Convert to fraction form
    137,044/205,570 = 205,570/x
  3. Step 3: Cross multiply
    137,044x = 205,570 × 205,570
  4. Step 4: Simplify right side
    137,044x = 42,259,024,900
  5. Step 5: Solve for x
    x = 42,259,024,900/137,044
  6. Step 6: Final answer
    x = 308,361.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.