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Finding the Third Proportional to 210,199.50 and 461,277

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Solution

The third proportional to 210,199.50 and 461,277 is: 1,012,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,199.50 : 461,277 = 461,277 : x
  2. Step 2: Convert to fraction form
    210,199.50/461,277 = 461,277/x
  3. Step 3: Cross multiply
    210,199.50x = 461,277 × 461,277
  4. Step 4: Simplify right side
    210,199.50x = 212,776,470,729
  5. Step 5: Solve for x
    x = 212,776,470,729/210,199.50
  6. Step 6: Final answer
    x = 1,012,259.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.