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Finding the Third Proportional to 160,285.50 and 346,261.50

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Solution

The third proportional to 160,285.50 and 346,261.50 is: 748,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,285.50 : 346,261.50 = 346,261.50 : x
  2. Step 2: Convert to fraction form
    160,285.50/346,261.50 = 346,261.50/x
  3. Step 3: Cross multiply
    160,285.50x = 346,261.50 × 346,261.50
  4. Step 4: Simplify right side
    160,285.50x = 119,897,026,382.25
  5. Step 5: Solve for x
    x = 119,897,026,382.25/160,285.50
  6. Step 6: Final answer
    x = 748,021.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.