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Finding the Third Proportional to 211,802 and 456,148

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Solution

The third proportional to 211,802 and 456,148 is: 982,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,802 : 456,148 = 456,148 : x
  2. Step 2: Convert to fraction form
    211,802/456,148 = 456,148/x
  3. Step 3: Cross multiply
    211,802x = 456,148 × 456,148
  4. Step 4: Simplify right side
    211,802x = 208,070,997,904
  5. Step 5: Solve for x
    x = 208,070,997,904/211,802
  6. Step 6: Final answer
    x = 982,384.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.