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Finding the Third Proportional to 154,467 and 360,877.50

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Solution

The third proportional to 154,467 and 360,877.50 is: 843,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,467 : 360,877.50 = 360,877.50 : x
  2. Step 2: Convert to fraction form
    154,467/360,877.50 = 360,877.50/x
  3. Step 3: Cross multiply
    154,467x = 360,877.50 × 360,877.50
  4. Step 4: Simplify right side
    154,467x = 130,232,570,006.25
  5. Step 5: Solve for x
    x = 130,232,570,006.25/154,467
  6. Step 6: Final answer
    x = 843,109.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.