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Finding the Third Proportional to 133,507.50 and 291,633

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Solution

The third proportional to 133,507.50 and 291,633 is: 637,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,507.50 : 291,633 = 291,633 : x
  2. Step 2: Convert to fraction form
    133,507.50/291,633 = 291,633/x
  3. Step 3: Cross multiply
    133,507.50x = 291,633 × 291,633
  4. Step 4: Simplify right side
    133,507.50x = 85,049,806,689
  5. Step 5: Solve for x
    x = 85,049,806,689/133,507.50
  6. Step 6: Final answer
    x = 637,041.41

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Why These Related Problems?

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