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Finding the Third Proportional to 172,595.25 and 376,567.88

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Solution

The third proportional to 172,595.25 and 376,567.88 is: 821,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,595.25 : 376,567.88 = 376,567.88 : x
  2. Step 2: Convert to fraction form
    172,595.25/376,567.88 = 376,567.88/x
  3. Step 3: Cross multiply
    172,595.25x = 376,567.88 × 376,567.88
  4. Step 4: Simplify right side
    172,595.25x = 141,803,364,482.02
  5. Step 5: Solve for x
    x = 141,803,364,482.02/172,595.25
  6. Step 6: Final answer
    x = 821,594.83

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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.