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Finding the Third Proportional to 153,705 and 325,650

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Solution

The third proportional to 153,705 and 325,650 is: 689,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,705 : 325,650 = 325,650 : x
  2. Step 2: Convert to fraction form
    153,705/325,650 = 325,650/x
  3. Step 3: Cross multiply
    153,705x = 325,650 × 325,650
  4. Step 4: Simplify right side
    153,705x = 106,047,922,500
  5. Step 5: Solve for x
    x = 106,047,922,500/153,705
  6. Step 6: Final answer
    x = 689,944.52

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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.