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Finding the Third Proportional to 127,526.63 and 278,367

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Solution

The third proportional to 127,526.63 and 278,367 is: 607,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,526.63 : 278,367 = 278,367 : x
  2. Step 2: Convert to fraction form
    127,526.63/278,367 = 278,367/x
  3. Step 3: Cross multiply
    127,526.63x = 278,367 × 278,367
  4. Step 4: Simplify right side
    127,526.63x = 77,488,186,689
  5. Step 5: Solve for x
    x = 77,488,186,689/127,526.63
  6. Step 6: Final answer
    x = 607,623.60

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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.