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Finding the Third Proportional to 164,341 and 234,847.50

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Solution

The third proportional to 164,341 and 234,847.50 is: 335,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,341 : 234,847.50 = 234,847.50 : x
  2. Step 2: Convert to fraction form
    164,341/234,847.50 = 234,847.50/x
  3. Step 3: Cross multiply
    164,341x = 234,847.50 × 234,847.50
  4. Step 4: Simplify right side
    164,341x = 55,153,348,256.25
  5. Step 5: Solve for x
    x = 55,153,348,256.25/164,341
  6. Step 6: Final answer
    x = 335,603.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.