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Finding the Third Proportional to 170,114 and 243,507

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Solution

The third proportional to 170,114 and 243,507 is: 348,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,114 : 243,507 = 243,507 : x
  2. Step 2: Convert to fraction form
    170,114/243,507 = 243,507/x
  3. Step 3: Cross multiply
    170,114x = 243,507 × 243,507
  4. Step 4: Simplify right side
    170,114x = 59,295,659,049
  5. Step 5: Solve for x
    x = 59,295,659,049/170,114
  6. Step 6: Final answer
    x = 348,564.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.