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Finding the Third Proportional to 117,297 and 243,301.50

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Solution

The third proportional to 117,297 and 243,301.50 is: 504,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,297 : 243,301.50 = 243,301.50 : x
  2. Step 2: Convert to fraction form
    117,297/243,301.50 = 243,301.50/x
  3. Step 3: Cross multiply
    117,297x = 243,301.50 × 243,301.50
  4. Step 4: Simplify right side
    117,297x = 59,195,619,902.25
  5. Step 5: Solve for x
    x = 59,195,619,902.25/117,297
  6. Step 6: Final answer
    x = 504,664.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.