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Finding the Third Proportional to 137,264.63 and 208,539.56

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Solution

The third proportional to 137,264.63 and 208,539.56 is: 316,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,264.63 : 208,539.56 = 208,539.56 : x
  2. Step 2: Convert to fraction form
    137,264.63/208,539.56 = 208,539.56/x
  3. Step 3: Cross multiply
    137,264.63x = 208,539.56 × 208,539.56
  4. Step 4: Simplify right side
    137,264.63x = 43,488,749,127.69
  5. Step 5: Solve for x
    x = 43,488,749,127.69/137,264.63
  6. Step 6: Final answer
    x = 316,824.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.