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Finding the Third Proportional to 163,402.50 and 341,770.50

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Solution

The third proportional to 163,402.50 and 341,770.50 is: 714,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,402.50 : 341,770.50 = 341,770.50 : x
  2. Step 2: Convert to fraction form
    163,402.50/341,770.50 = 341,770.50/x
  3. Step 3: Cross multiply
    163,402.50x = 341,770.50 × 341,770.50
  4. Step 4: Simplify right side
    163,402.50x = 116,807,074,670.25
  5. Step 5: Solve for x
    x = 116,807,074,670.25/163,402.50
  6. Step 6: Final answer
    x = 714,842.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.