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Finding the Third Proportional to 210,697.88 and 330,166.13

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Solution

The third proportional to 210,697.88 and 330,166.13 is: 517,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,697.88 : 330,166.13 = 330,166.13 : x
  2. Step 2: Convert to fraction form
    210,697.88/330,166.13 = 330,166.13/x
  3. Step 3: Cross multiply
    210,697.88x = 330,166.13 × 330,166.13
  4. Step 4: Simplify right side
    210,697.88x = 109,009,670,097.52
  5. Step 5: Solve for x
    x = 109,009,670,097.52/210,697.88
  6. Step 6: Final answer
    x = 517,374.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.