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Finding the Third Proportional to 164,723.63 and 247,070.25

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Solution

The third proportional to 164,723.63 and 247,070.25 is: 370,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,723.63 : 247,070.25 = 247,070.25 : x
  2. Step 2: Convert to fraction form
    164,723.63/247,070.25 = 247,070.25/x
  3. Step 3: Cross multiply
    164,723.63x = 247,070.25 × 247,070.25
  4. Step 4: Simplify right side
    164,723.63x = 61,043,708,435.06
  5. Step 5: Solve for x
    x = 61,043,708,435.06/164,723.63
  6. Step 6: Final answer
    x = 370,582.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.