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Finding the Third Proportional to 134,275.50 and 292,509

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Solution

The third proportional to 134,275.50 and 292,509 is: 637,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,275.50 : 292,509 = 292,509 : x
  2. Step 2: Convert to fraction form
    134,275.50/292,509 = 292,509/x
  3. Step 3: Cross multiply
    134,275.50x = 292,509 × 292,509
  4. Step 4: Simplify right side
    134,275.50x = 85,561,515,081
  5. Step 5: Solve for x
    x = 85,561,515,081/134,275.50
  6. Step 6: Final answer
    x = 637,208.69

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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.