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Finding the Third Proportional to 248,970 and 377,215.50

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Solution

The third proportional to 248,970 and 377,215.50 is: 571,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,970 : 377,215.50 = 377,215.50 : x
  2. Step 2: Convert to fraction form
    248,970/377,215.50 = 377,215.50/x
  3. Step 3: Cross multiply
    248,970x = 377,215.50 × 377,215.50
  4. Step 4: Simplify right side
    248,970x = 142,291,533,440.25
  5. Step 5: Solve for x
    x = 142,291,533,440.25/248,970
  6. Step 6: Final answer
    x = 571,520.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.