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Finding the Third Proportional to 127,307.81 and 277,442.44

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Solution

The third proportional to 127,307.81 and 277,442.44 is: 604,631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,307.81 : 277,442.44 = 277,442.44 : x
  2. Step 2: Convert to fraction form
    127,307.81/277,442.44 = 277,442.44/x
  3. Step 3: Cross multiply
    127,307.81x = 277,442.44 × 277,442.44
  4. Step 4: Simplify right side
    127,307.81x = 76,974,306,125.94
  5. Step 5: Solve for x
    x = 76,974,306,125.94/127,307.81
  6. Step 6: Final answer
    x = 604,631.44

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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.