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Finding the Third Proportional to 117,621 and 256,567.50

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Solution

The third proportional to 117,621 and 256,567.50 is: 559,652.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,621 : 256,567.50 = 256,567.50 : x
  2. Step 2: Convert to fraction form
    117,621/256,567.50 = 256,567.50/x
  3. Step 3: Cross multiply
    117,621x = 256,567.50 × 256,567.50
  4. Step 4: Simplify right side
    117,621x = 65,826,882,056.25
  5. Step 5: Solve for x
    x = 65,826,882,056.25/117,621
  6. Step 6: Final answer
    x = 559,652.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.