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Finding the Third Proportional to 133,429.13 and 291,482.06

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Solution

The third proportional to 133,429.13 and 291,482.06 is: 636,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,429.13 : 291,482.06 = 291,482.06 : x
  2. Step 2: Convert to fraction form
    133,429.13/291,482.06 = 291,482.06/x
  3. Step 3: Cross multiply
    133,429.13x = 291,482.06 × 291,482.06
  4. Step 4: Simplify right side
    133,429.13x = 84,961,792,759.25
  5. Step 5: Solve for x
    x = 84,961,792,759.25/133,429.13
  6. Step 6: Final answer
    x = 636,755.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.