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Finding the Third Proportional to 169,176 and 245,772

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Solution

The third proportional to 169,176 and 245,772 is: 357,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,176 : 245,772 = 245,772 : x
  2. Step 2: Convert to fraction form
    169,176/245,772 = 245,772/x
  3. Step 3: Cross multiply
    169,176x = 245,772 × 245,772
  4. Step 4: Simplify right side
    169,176x = 60,403,875,984
  5. Step 5: Solve for x
    x = 60,403,875,984/169,176
  6. Step 6: Final answer
    x = 357,047.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.