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Finding the Third Proportional to 138,501 and 297,689.63

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Solution

The third proportional to 138,501 and 297,689.63 is: 639,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,501 : 297,689.63 = 297,689.63 : x
  2. Step 2: Convert to fraction form
    138,501/297,689.63 = 297,689.63/x
  3. Step 3: Cross multiply
    138,501x = 297,689.63 × 297,689.63
  4. Step 4: Simplify right side
    138,501x = 88,619,112,832.64
  5. Step 5: Solve for x
    x = 88,619,112,832.64/138,501
  6. Step 6: Final answer
    x = 639,844.57

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