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Finding the Third Proportional to 134,968.50 and 286,546.50

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Solution

The third proportional to 134,968.50 and 286,546.50 is: 608,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,968.50 : 286,546.50 = 286,546.50 : x
  2. Step 2: Convert to fraction form
    134,968.50/286,546.50 = 286,546.50/x
  3. Step 3: Cross multiply
    134,968.50x = 286,546.50 × 286,546.50
  4. Step 4: Simplify right side
    134,968.50x = 82,108,896,662.25
  5. Step 5: Solve for x
    x = 82,108,896,662.25/134,968.50
  6. Step 6: Final answer
    x = 608,356.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.