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Finding the Third Proportional to 175,335 and 248,095.50

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Solution

The third proportional to 175,335 and 248,095.50 is: 351,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,335 : 248,095.50 = 248,095.50 : x
  2. Step 2: Convert to fraction form
    175,335/248,095.50 = 248,095.50/x
  3. Step 3: Cross multiply
    175,335x = 248,095.50 × 248,095.50
  4. Step 4: Simplify right side
    175,335x = 61,551,377,120.25
  5. Step 5: Solve for x
    x = 61,551,377,120.25/175,335
  6. Step 6: Final answer
    x = 351,050.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.