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Finding the Third Proportional to 164,056.50 and 358,974

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Solution

The third proportional to 164,056.50 and 358,974 is: 785,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,056.50 : 358,974 = 358,974 : x
  2. Step 2: Convert to fraction form
    164,056.50/358,974 = 358,974/x
  3. Step 3: Cross multiply
    164,056.50x = 358,974 × 358,974
  4. Step 4: Simplify right side
    164,056.50x = 128,862,332,676
  5. Step 5: Solve for x
    x = 128,862,332,676/164,056.50
  6. Step 6: Final answer
    x = 785,475.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.