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Finding the Third Proportional to 148,070.25 and 238,455

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Solution

The third proportional to 148,070.25 and 238,455 is: 384,012.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,070.25 : 238,455 = 238,455 : x
  2. Step 2: Convert to fraction form
    148,070.25/238,455 = 238,455/x
  3. Step 3: Cross multiply
    148,070.25x = 238,455 × 238,455
  4. Step 4: Simplify right side
    148,070.25x = 56,860,787,025
  5. Step 5: Solve for x
    x = 56,860,787,025/148,070.25
  6. Step 6: Final answer
    x = 384,012.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.