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Finding the Third Proportional to 164,854.50 and 241,084.50

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Solution

The third proportional to 164,854.50 and 241,084.50 is: 352,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,854.50 : 241,084.50 = 241,084.50 : x
  2. Step 2: Convert to fraction form
    164,854.50/241,084.50 = 241,084.50/x
  3. Step 3: Cross multiply
    164,854.50x = 241,084.50 × 241,084.50
  4. Step 4: Simplify right side
    164,854.50x = 58,121,736,140.25
  5. Step 5: Solve for x
    x = 58,121,736,140.25/164,854.50
  6. Step 6: Final answer
    x = 352,563.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.