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Finding the Third Proportional to 137,602.13 and 295,549.13

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Solution

The third proportional to 137,602.13 and 295,549.13 is: 634,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,602.13 : 295,549.13 = 295,549.13 : x
  2. Step 2: Convert to fraction form
    137,602.13/295,549.13 = 295,549.13/x
  3. Step 3: Cross multiply
    137,602.13x = 295,549.13 × 295,549.13
  4. Step 4: Simplify right side
    137,602.13x = 87,349,285,288.27
  5. Step 5: Solve for x
    x = 87,349,285,288.27/137,602.13
  6. Step 6: Final answer
    x = 634,796.05

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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.