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Finding the Third Proportional to 215,169 and 472,802.25

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Solution

The third proportional to 215,169 and 472,802.25 is: 1,038,913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,169 : 472,802.25 = 472,802.25 : x
  2. Step 2: Convert to fraction form
    215,169/472,802.25 = 472,802.25/x
  3. Step 3: Cross multiply
    215,169x = 472,802.25 × 472,802.25
  4. Step 4: Simplify right side
    215,169x = 223,541,967,605.06
  5. Step 5: Solve for x
    x = 223,541,967,605.06/215,169
  6. Step 6: Final answer
    x = 1,038,913.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.