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Finding the Third Proportional to 232,553 and 350,533.50

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Solution

The third proportional to 232,553 and 350,533.50 is: 528,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,553 : 350,533.50 = 350,533.50 : x
  2. Step 2: Convert to fraction form
    232,553/350,533.50 = 350,533.50/x
  3. Step 3: Cross multiply
    232,553x = 350,533.50 × 350,533.50
  4. Step 4: Simplify right side
    232,553x = 122,873,734,622.25
  5. Step 5: Solve for x
    x = 122,873,734,622.25/232,553
  6. Step 6: Final answer
    x = 528,368.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.