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Finding the Third Proportional to 169,284 and 248,688

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Solution

The third proportional to 169,284 and 248,688 is: 365,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,284 : 248,688 = 248,688 : x
  2. Step 2: Convert to fraction form
    169,284/248,688 = 248,688/x
  3. Step 3: Cross multiply
    169,284x = 248,688 × 248,688
  4. Step 4: Simplify right side
    169,284x = 61,845,721,344
  5. Step 5: Solve for x
    x = 61,845,721,344/169,284
  6. Step 6: Final answer
    x = 365,337.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.