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Finding the Third Proportional to 174,646.13 and 273,386.81

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Solution

The third proportional to 174,646.13 and 273,386.81 is: 427,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,646.13 : 273,386.81 = 273,386.81 : x
  2. Step 2: Convert to fraction form
    174,646.13/273,386.81 = 273,386.81/x
  3. Step 3: Cross multiply
    174,646.13x = 273,386.81 × 273,386.81
  4. Step 4: Simplify right side
    174,646.13x = 74,740,349,248.91
  5. Step 5: Solve for x
    x = 74,740,349,248.91/174,646.13
  6. Step 6: Final answer
    x = 427,953.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.