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Finding the Third Proportional to 159,319 and 347,622.50

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Solution

The third proportional to 159,319 and 347,622.50 is: 758,487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,319 : 347,622.50 = 347,622.50 : x
  2. Step 2: Convert to fraction form
    159,319/347,622.50 = 347,622.50/x
  3. Step 3: Cross multiply
    159,319x = 347,622.50 × 347,622.50
  4. Step 4: Simplify right side
    159,319x = 120,841,402,506.25
  5. Step 5: Solve for x
    x = 120,841,402,506.25/159,319
  6. Step 6: Final answer
    x = 758,487.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.