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Finding the Third Proportional to 210,683.25 and 455,037.75

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Solution

The third proportional to 210,683.25 and 455,037.75 is: 982,799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,683.25 : 455,037.75 = 455,037.75 : x
  2. Step 2: Convert to fraction form
    210,683.25/455,037.75 = 455,037.75/x
  3. Step 3: Cross multiply
    210,683.25x = 455,037.75 × 455,037.75
  4. Step 4: Simplify right side
    210,683.25x = 207,059,353,925.06
  5. Step 5: Solve for x
    x = 207,059,353,925.06/210,683.25
  6. Step 6: Final answer
    x = 982,799.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.