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Finding the Third Proportional to 161,888.50 and 245,090.50

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Solution

The third proportional to 161,888.50 and 245,090.50 is: 371,053.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,888.50 : 245,090.50 = 245,090.50 : x
  2. Step 2: Convert to fraction form
    161,888.50/245,090.50 = 245,090.50/x
  3. Step 3: Cross multiply
    161,888.50x = 245,090.50 × 245,090.50
  4. Step 4: Simplify right side
    161,888.50x = 60,069,353,190.25
  5. Step 5: Solve for x
    x = 60,069,353,190.25/161,888.50
  6. Step 6: Final answer
    x = 371,053.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.