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Finding the Third Proportional to 163,412.25 and 353,966.25

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Solution

The third proportional to 163,412.25 and 353,966.25 is: 766,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,412.25 : 353,966.25 = 353,966.25 : x
  2. Step 2: Convert to fraction form
    163,412.25/353,966.25 = 353,966.25/x
  3. Step 3: Cross multiply
    163,412.25x = 353,966.25 × 353,966.25
  4. Step 4: Simplify right side
    163,412.25x = 125,292,106,139.06
  5. Step 5: Solve for x
    x = 125,292,106,139.06/163,412.25
  6. Step 6: Final answer
    x = 766,724.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.