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Finding the Third Proportional to 210,184.50 and 435,327

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Solution

The third proportional to 210,184.50 and 435,327 is: 901,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,184.50 : 435,327 = 435,327 : x
  2. Step 2: Convert to fraction form
    210,184.50/435,327 = 435,327/x
  3. Step 3: Cross multiply
    210,184.50x = 435,327 × 435,327
  4. Step 4: Simplify right side
    210,184.50x = 189,509,596,929
  5. Step 5: Solve for x
    x = 189,509,596,929/210,184.50
  6. Step 6: Final answer
    x = 901,634.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.