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Finding the Third Proportional to 210,681 and 336,190.50

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Solution

The third proportional to 210,681 and 336,190.50 is: 536,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,681 : 336,190.50 = 336,190.50 : x
  2. Step 2: Convert to fraction form
    210,681/336,190.50 = 336,190.50/x
  3. Step 3: Cross multiply
    210,681x = 336,190.50 × 336,190.50
  4. Step 4: Simplify right side
    210,681x = 113,024,052,290.25
  5. Step 5: Solve for x
    x = 113,024,052,290.25/210,681
  6. Step 6: Final answer
    x = 536,470.08

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.