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Finding the Third Proportional to 197,106.50 and 432,364

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Solution

The third proportional to 197,106.50 and 432,364 is: 948,414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,106.50 : 432,364 = 432,364 : x
  2. Step 2: Convert to fraction form
    197,106.50/432,364 = 432,364/x
  3. Step 3: Cross multiply
    197,106.50x = 432,364 × 432,364
  4. Step 4: Simplify right side
    197,106.50x = 186,938,628,496
  5. Step 5: Solve for x
    x = 186,938,628,496/197,106.50
  6. Step 6: Final answer
    x = 948,414.33

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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.