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Finding the Third Proportional to 188,046 and 402,315.75

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Solution

The third proportional to 188,046 and 402,315.75 is: 860,736.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,046 : 402,315.75 = 402,315.75 : x
  2. Step 2: Convert to fraction form
    188,046/402,315.75 = 402,315.75/x
  3. Step 3: Cross multiply
    188,046x = 402,315.75 × 402,315.75
  4. Step 4: Simplify right side
    188,046x = 161,857,962,698.06
  5. Step 5: Solve for x
    x = 161,857,962,698.06/188,046
  6. Step 6: Final answer
    x = 860,736.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.