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Finding the Third Proportional to 258,277.50 and 346,410

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Solution

The third proportional to 258,277.50 and 346,410 is: 464,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,277.50 : 346,410 = 346,410 : x
  2. Step 2: Convert to fraction form
    258,277.50/346,410 = 346,410/x
  3. Step 3: Cross multiply
    258,277.50x = 346,410 × 346,410
  4. Step 4: Simplify right side
    258,277.50x = 119,999,888,100
  5. Step 5: Solve for x
    x = 119,999,888,100/258,277.50
  6. Step 6: Final answer
    x = 464,616.11

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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.