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Finding the Third Proportional to 160,574 and 245,050

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Solution

The third proportional to 160,574 and 245,050 is: 373,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,574 : 245,050 = 245,050 : x
  2. Step 2: Convert to fraction form
    160,574/245,050 = 245,050/x
  3. Step 3: Cross multiply
    160,574x = 245,050 × 245,050
  4. Step 4: Simplify right side
    160,574x = 60,049,502,500
  5. Step 5: Solve for x
    x = 60,049,502,500/160,574
  6. Step 6: Final answer
    x = 373,967.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.