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Finding the Third Proportional to 155,548 and 333,128

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Solution

The third proportional to 155,548 and 333,128 is: 713,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,548 : 333,128 = 333,128 : x
  2. Step 2: Convert to fraction form
    155,548/333,128 = 333,128/x
  3. Step 3: Cross multiply
    155,548x = 333,128 × 333,128
  4. Step 4: Simplify right side
    155,548x = 110,974,264,384
  5. Step 5: Solve for x
    x = 110,974,264,384/155,548
  6. Step 6: Final answer
    x = 713,440.64

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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.