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Finding the Third Proportional to 163,037.81 and 348,463.90

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Solution

The third proportional to 163,037.81 and 348,463.90 is: 744,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,037.81 : 348,463.90 = 348,463.90 : x
  2. Step 2: Convert to fraction form
    163,037.81/348,463.90 = 348,463.90/x
  3. Step 3: Cross multiply
    163,037.81x = 348,463.90 × 348,463.90
  4. Step 4: Simplify right side
    163,037.81x = 121,427,088,514.26
  5. Step 5: Solve for x
    x = 121,427,088,514.26/163,037.81
  6. Step 6: Final answer
    x = 744,778.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.