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Finding the Third Proportional to 172,598.50 and 376,574.50

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Solution

The third proportional to 172,598.50 and 376,574.50 is: 821,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,598.50 : 376,574.50 = 376,574.50 : x
  2. Step 2: Convert to fraction form
    172,598.50/376,574.50 = 376,574.50/x
  3. Step 3: Cross multiply
    172,598.50x = 376,574.50 × 376,574.50
  4. Step 4: Simplify right side
    172,598.50x = 141,808,354,050.25
  5. Step 5: Solve for x
    x = 141,808,354,050.25/172,598.50
  6. Step 6: Final answer
    x = 821,608.26

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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.