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Finding the Third Proportional to 164,074.22 and 253,111.50

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Solution

The third proportional to 164,074.22 and 253,111.50 is: 390,466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,074.22 : 253,111.50 = 253,111.50 : x
  2. Step 2: Convert to fraction form
    164,074.22/253,111.50 = 253,111.50/x
  3. Step 3: Cross multiply
    164,074.22x = 253,111.50 × 253,111.50
  4. Step 4: Simplify right side
    164,074.22x = 64,065,431,432.25
  5. Step 5: Solve for x
    x = 64,065,431,432.25/164,074.22
  6. Step 6: Final answer
    x = 390,466.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.