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Finding the Third Proportional to 175,032 and 264,158

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Solution

The third proportional to 175,032 and 264,158 is: 398,666.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,032 : 264,158 = 264,158 : x
  2. Step 2: Convert to fraction form
    175,032/264,158 = 264,158/x
  3. Step 3: Cross multiply
    175,032x = 264,158 × 264,158
  4. Step 4: Simplify right side
    175,032x = 69,779,448,964
  5. Step 5: Solve for x
    x = 69,779,448,964/175,032
  6. Step 6: Final answer
    x = 398,666.81

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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.