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Finding the Third Proportional to 223,802.25 and 457,946.25

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Solution

The third proportional to 223,802.25 and 457,946.25 is: 937,053.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,802.25 : 457,946.25 = 457,946.25 : x
  2. Step 2: Convert to fraction form
    223,802.25/457,946.25 = 457,946.25/x
  3. Step 3: Cross multiply
    223,802.25x = 457,946.25 × 457,946.25
  4. Step 4: Simplify right side
    223,802.25x = 209,714,767,889.06
  5. Step 5: Solve for x
    x = 209,714,767,889.06/223,802.25
  6. Step 6: Final answer
    x = 937,053.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.