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Finding the Third Proportional to 232,429.50 and 358,895.81

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Solution

The third proportional to 232,429.50 and 358,895.81 is: 554,173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,429.50 : 358,895.81 = 358,895.81 : x
  2. Step 2: Convert to fraction form
    232,429.50/358,895.81 = 358,895.81/x
  3. Step 3: Cross multiply
    232,429.50x = 358,895.81 × 358,895.81
  4. Step 4: Simplify right side
    232,429.50x = 128,806,204,230.04
  5. Step 5: Solve for x
    x = 128,806,204,230.04/232,429.50
  6. Step 6: Final answer
    x = 554,173.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.