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Finding the Third Proportional to 155,428 and 332,185

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Solution

The third proportional to 155,428 and 332,185 is: 709,954.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,428 : 332,185 = 332,185 : x
  2. Step 2: Convert to fraction form
    155,428/332,185 = 332,185/x
  3. Step 3: Cross multiply
    155,428x = 332,185 × 332,185
  4. Step 4: Simplify right side
    155,428x = 110,346,874,225
  5. Step 5: Solve for x
    x = 110,346,874,225/155,428
  6. Step 6: Final answer
    x = 709,954.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.