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Finding the Third Proportional to 174,809.81 and 264,578.06

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Solution

The third proportional to 174,809.81 and 264,578.06 is: 400,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,809.81 : 264,578.06 = 264,578.06 : x
  2. Step 2: Convert to fraction form
    174,809.81/264,578.06 = 264,578.06/x
  3. Step 3: Cross multiply
    174,809.81x = 264,578.06 × 264,578.06
  4. Step 4: Simplify right side
    174,809.81x = 70,001,551,156.25
  5. Step 5: Solve for x
    x = 70,001,551,156.25/174,809.81
  6. Step 6: Final answer
    x = 400,444.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.