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Finding the Third Proportional to 152,159.77 and 325,426.36

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Solution

The third proportional to 152,159.77 and 325,426.36 is: 695,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,159.77 : 325,426.36 = 325,426.36 : x
  2. Step 2: Convert to fraction form
    152,159.77/325,426.36 = 325,426.36/x
  3. Step 3: Cross multiply
    152,159.77x = 325,426.36 × 325,426.36
  4. Step 4: Simplify right side
    152,159.77x = 105,902,315,376.07
  5. Step 5: Solve for x
    x = 105,902,315,376.07/152,159.77
  6. Step 6: Final answer
    x = 695,994.21

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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.