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Finding the Third Proportional to 264,526.88 and 378,124.88

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Solution

The third proportional to 264,526.88 and 378,124.88 is: 540,506.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,526.88 : 378,124.88 = 378,124.88 : x
  2. Step 2: Convert to fraction form
    264,526.88/378,124.88 = 378,124.88/x
  3. Step 3: Cross multiply
    264,526.88x = 378,124.88 × 378,124.88
  4. Step 4: Simplify right side
    264,526.88x = 142,978,421,093.77
  5. Step 5: Solve for x
    x = 142,978,421,093.77/264,526.88
  6. Step 6: Final answer
    x = 540,506.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.