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Finding the Third Proportional to 145,598 and 298,253

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Solution

The third proportional to 145,598 and 298,253 is: 610,962.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,598 : 298,253 = 298,253 : x
  2. Step 2: Convert to fraction form
    145,598/298,253 = 298,253/x
  3. Step 3: Cross multiply
    145,598x = 298,253 × 298,253
  4. Step 4: Simplify right side
    145,598x = 88,954,852,009
  5. Step 5: Solve for x
    x = 88,954,852,009/145,598
  6. Step 6: Final answer
    x = 610,962.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.