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Finding the Third Proportional to 233,886.50 and 352,935

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Solution

The third proportional to 233,886.50 and 352,935 is: 532,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,886.50 : 352,935 = 352,935 : x
  2. Step 2: Convert to fraction form
    233,886.50/352,935 = 352,935/x
  3. Step 3: Cross multiply
    233,886.50x = 352,935 × 352,935
  4. Step 4: Simplify right side
    233,886.50x = 124,563,114,225
  5. Step 5: Solve for x
    x = 124,563,114,225/233,886.50
  6. Step 6: Final answer
    x = 532,579.32

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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.