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Finding the Third Proportional to 213,802.50 and 461,503.50

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Solution

The third proportional to 213,802.50 and 461,503.50 is: 996,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,802.50 : 461,503.50 = 461,503.50 : x
  2. Step 2: Convert to fraction form
    213,802.50/461,503.50 = 461,503.50/x
  3. Step 3: Cross multiply
    213,802.50x = 461,503.50 × 461,503.50
  4. Step 4: Simplify right side
    213,802.50x = 212,985,480,512.25
  5. Step 5: Solve for x
    x = 212,985,480,512.25/213,802.50
  6. Step 6: Final answer
    x = 996,178.63

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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.