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Finding the Third Proportional to 172,548.56 and 264,870.84

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Solution

The third proportional to 172,548.56 and 264,870.84 is: 406,590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,548.56 : 264,870.84 = 264,870.84 : x
  2. Step 2: Convert to fraction form
    172,548.56/264,870.84 = 264,870.84/x
  3. Step 3: Cross multiply
    172,548.56x = 264,870.84 × 264,870.84
  4. Step 4: Simplify right side
    172,548.56x = 70,156,563,868.84
  5. Step 5: Solve for x
    x = 70,156,563,868.84/172,548.56
  6. Step 6: Final answer
    x = 406,590.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.