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Finding the Third Proportional to 145,296 and 195,253.88

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Solution

The third proportional to 145,296 and 195,253.88 is: 262,389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,296 : 195,253.88 = 195,253.88 : x
  2. Step 2: Convert to fraction form
    145,296/195,253.88 = 195,253.88/x
  3. Step 3: Cross multiply
    145,296x = 195,253.88 × 195,253.88
  4. Step 4: Simplify right side
    145,296x = 38,124,075,702.52
  5. Step 5: Solve for x
    x = 38,124,075,702.52/145,296
  6. Step 6: Final answer
    x = 262,389.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.