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Finding the Third Proportional to 172,594 and 376,565.50

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Solution

The third proportional to 172,594 and 376,565.50 is: 821,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,594 : 376,565.50 = 376,565.50 : x
  2. Step 2: Convert to fraction form
    172,594/376,565.50 = 376,565.50/x
  3. Step 3: Cross multiply
    172,594x = 376,565.50 × 376,565.50
  4. Step 4: Simplify right side
    172,594x = 141,801,575,790.25
  5. Step 5: Solve for x
    x = 141,801,575,790.25/172,594
  6. Step 6: Final answer
    x = 821,590.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.