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Finding the Third Proportional to 232,506 and 352,261.50

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Solution

The third proportional to 232,506 and 352,261.50 is: 533,698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,506 : 352,261.50 = 352,261.50 : x
  2. Step 2: Convert to fraction form
    232,506/352,261.50 = 352,261.50/x
  3. Step 3: Cross multiply
    232,506x = 352,261.50 × 352,261.50
  4. Step 4: Simplify right side
    232,506x = 124,088,164,382.25
  5. Step 5: Solve for x
    x = 124,088,164,382.25/232,506
  6. Step 6: Final answer
    x = 533,698.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.