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Finding the Third Proportional to 160,130 and 350,356

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Solution

The third proportional to 160,130 and 350,356 is: 766,560.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,130 : 350,356 = 350,356 : x
  2. Step 2: Convert to fraction form
    160,130/350,356 = 350,356/x
  3. Step 3: Cross multiply
    160,130x = 350,356 × 350,356
  4. Step 4: Simplify right side
    160,130x = 122,749,326,736
  5. Step 5: Solve for x
    x = 122,749,326,736/160,130
  6. Step 6: Final answer
    x = 766,560.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.