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Finding the Third Proportional to 233,063 and 352,746

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Solution

The third proportional to 233,063 and 352,746 is: 533,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,063 : 352,746 = 352,746 : x
  2. Step 2: Convert to fraction form
    233,063/352,746 = 352,746/x
  3. Step 3: Cross multiply
    233,063x = 352,746 × 352,746
  4. Step 4: Simplify right side
    233,063x = 124,429,740,516
  5. Step 5: Solve for x
    x = 124,429,740,516/233,063
  6. Step 6: Final answer
    x = 533,888.86

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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.