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Finding the Third Proportional to 148,871 and 230,574

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Solution

The third proportional to 148,871 and 230,574 is: 357,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,871 : 230,574 = 230,574 : x
  2. Step 2: Convert to fraction form
    148,871/230,574 = 230,574/x
  3. Step 3: Cross multiply
    148,871x = 230,574 × 230,574
  4. Step 4: Simplify right side
    148,871x = 53,164,369,476
  5. Step 5: Solve for x
    x = 53,164,369,476/148,871
  6. Step 6: Final answer
    x = 357,117.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.