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Finding the Third Proportional to 170,115.19 and 264,590.72

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Solution

The third proportional to 170,115.19 and 264,590.72 is: 411,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,115.19 : 264,590.72 = 264,590.72 : x
  2. Step 2: Convert to fraction form
    170,115.19/264,590.72 = 264,590.72/x
  3. Step 3: Cross multiply
    170,115.19x = 264,590.72 × 264,590.72
  4. Step 4: Simplify right side
    170,115.19x = 70,008,248,448.64
  5. Step 5: Solve for x
    x = 70,008,248,448.64/170,115.19
  6. Step 6: Final answer
    x = 411,534.38

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.