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Finding the Third Proportional to 147,079.13 and 310,682.25

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Solution

The third proportional to 147,079.13 and 310,682.25 is: 656,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,079.13 : 310,682.25 = 310,682.25 : x
  2. Step 2: Convert to fraction form
    147,079.13/310,682.25 = 310,682.25/x
  3. Step 3: Cross multiply
    147,079.13x = 310,682.25 × 310,682.25
  4. Step 4: Simplify right side
    147,079.13x = 96,523,460,465.06
  5. Step 5: Solve for x
    x = 96,523,460,465.06/147,079.13
  6. Step 6: Final answer
    x = 656,268.93

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.