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Finding the Third Proportional to 154,572 and 325,746

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Solution

The third proportional to 154,572 and 325,746 is: 686,479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,572 : 325,746 = 325,746 : x
  2. Step 2: Convert to fraction form
    154,572/325,746 = 325,746/x
  3. Step 3: Cross multiply
    154,572x = 325,746 × 325,746
  4. Step 4: Simplify right side
    154,572x = 106,110,456,516
  5. Step 5: Solve for x
    x = 106,110,456,516/154,572
  6. Step 6: Final answer
    x = 686,479.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.