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Finding the Third Proportional to 253,695.50 and 545,663

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Solution

The third proportional to 253,695.50 and 545,663 is: 1,173,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,695.50 : 545,663 = 545,663 : x
  2. Step 2: Convert to fraction form
    253,695.50/545,663 = 545,663/x
  3. Step 3: Cross multiply
    253,695.50x = 545,663 × 545,663
  4. Step 4: Simplify right side
    253,695.50x = 297,748,109,569
  5. Step 5: Solve for x
    x = 297,748,109,569/253,695.50
  6. Step 6: Final answer
    x = 1,173,643.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.