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Finding the Third Proportional to 160,455.50 and 248,327.50

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Solution

The third proportional to 160,455.50 and 248,327.50 is: 384,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,455.50 : 248,327.50 = 248,327.50 : x
  2. Step 2: Convert to fraction form
    160,455.50/248,327.50 = 248,327.50/x
  3. Step 3: Cross multiply
    160,455.50x = 248,327.50 × 248,327.50
  4. Step 4: Simplify right side
    160,455.50x = 61,666,547,256.25
  5. Step 5: Solve for x
    x = 61,666,547,256.25/160,455.50
  6. Step 6: Final answer
    x = 384,321.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.