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Finding the Third Proportional to 234,054 and 342,750

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Solution

The third proportional to 234,054 and 342,750 is: 501,925.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,054 : 342,750 = 342,750 : x
  2. Step 2: Convert to fraction form
    234,054/342,750 = 342,750/x
  3. Step 3: Cross multiply
    234,054x = 342,750 × 342,750
  4. Step 4: Simplify right side
    234,054x = 117,477,562,500
  5. Step 5: Solve for x
    x = 117,477,562,500/234,054
  6. Step 6: Final answer
    x = 501,925.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.