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Finding the Third Proportional to 233,363 and 352,182.50

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Solution

The third proportional to 233,363 and 352,182.50 is: 531,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,363 : 352,182.50 = 352,182.50 : x
  2. Step 2: Convert to fraction form
    233,363/352,182.50 = 352,182.50/x
  3. Step 3: Cross multiply
    233,363x = 352,182.50 × 352,182.50
  4. Step 4: Simplify right side
    233,363x = 124,032,513,306.25
  5. Step 5: Solve for x
    x = 124,032,513,306.25/233,363
  6. Step 6: Final answer
    x = 531,500.34

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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.