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Finding the Third Proportional to 145,584 and 308,664

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Solution

The third proportional to 145,584 and 308,664 is: 654,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,584 : 308,664 = 308,664 : x
  2. Step 2: Convert to fraction form
    145,584/308,664 = 308,664/x
  3. Step 3: Cross multiply
    145,584x = 308,664 × 308,664
  4. Step 4: Simplify right side
    145,584x = 95,273,464,896
  5. Step 5: Solve for x
    x = 95,273,464,896/145,584
  6. Step 6: Final answer
    x = 654,422.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.