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Finding the Third Proportional to 233,355.09 and 348,543.84

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Solution

The third proportional to 233,355.09 and 348,543.84 is: 520,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,355.09 : 348,543.84 = 348,543.84 : x
  2. Step 2: Convert to fraction form
    233,355.09/348,543.84 = 348,543.84/x
  3. Step 3: Cross multiply
    233,355.09x = 348,543.84 × 348,543.84
  4. Step 4: Simplify right side
    233,355.09x = 121,482,811,016.02
  5. Step 5: Solve for x
    x = 121,482,811,016.02/233,355.09
  6. Step 6: Final answer
    x = 520,592.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.