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Finding the Third Proportional to 172,570.50 and 376,518

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Solution

The third proportional to 172,570.50 and 376,518 is: 821,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,570.50 : 376,518 = 376,518 : x
  2. Step 2: Convert to fraction form
    172,570.50/376,518 = 376,518/x
  3. Step 3: Cross multiply
    172,570.50x = 376,518 × 376,518
  4. Step 4: Simplify right side
    172,570.50x = 141,765,804,324
  5. Step 5: Solve for x
    x = 141,765,804,324/172,570.50
  6. Step 6: Final answer
    x = 821,495.01

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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.