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Finding the Third Proportional to 281,167.50 and 607,236

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Solution

The third proportional to 281,167.50 and 607,236 is: 1,311,444.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,167.50 : 607,236 = 607,236 : x
  2. Step 2: Convert to fraction form
    281,167.50/607,236 = 607,236/x
  3. Step 3: Cross multiply
    281,167.50x = 607,236 × 607,236
  4. Step 4: Simplify right side
    281,167.50x = 368,735,559,696
  5. Step 5: Solve for x
    x = 368,735,559,696/281,167.50
  6. Step 6: Final answer
    x = 1,311,444.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.