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Finding the Third Proportional to 114,271.50 and 264,501

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Solution

The third proportional to 114,271.50 and 264,501 is: 612,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,271.50 : 264,501 = 264,501 : x
  2. Step 2: Convert to fraction form
    114,271.50/264,501 = 264,501/x
  3. Step 3: Cross multiply
    114,271.50x = 264,501 × 264,501
  4. Step 4: Simplify right side
    114,271.50x = 69,960,779,001
  5. Step 5: Solve for x
    x = 69,960,779,001/114,271.50
  6. Step 6: Final answer
    x = 612,232.96

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.