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Finding the Third Proportional to 153,118 and 325,028

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Solution

The third proportional to 153,118 and 325,028 is: 689,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,118 : 325,028 = 325,028 : x
  2. Step 2: Convert to fraction form
    153,118/325,028 = 325,028/x
  3. Step 3: Cross multiply
    153,118x = 325,028 × 325,028
  4. Step 4: Simplify right side
    153,118x = 105,643,200,784
  5. Step 5: Solve for x
    x = 105,643,200,784/153,118
  6. Step 6: Final answer
    x = 689,946.32

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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.