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Finding the Third Proportional to 210,334.50 and 456,346.13

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Solution

The third proportional to 210,334.50 and 456,346.13 is: 990,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,334.50 : 456,346.13 = 456,346.13 : x
  2. Step 2: Convert to fraction form
    210,334.50/456,346.13 = 456,346.13/x
  3. Step 3: Cross multiply
    210,334.50x = 456,346.13 × 456,346.13
  4. Step 4: Simplify right side
    210,334.50x = 208,251,785,802.52
  5. Step 5: Solve for x
    x = 208,251,785,802.52/210,334.50
  6. Step 6: Final answer
    x = 990,098.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.