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Finding the Third Proportional to 130,864.50 and 197,391

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Solution

The third proportional to 130,864.50 and 197,391 is: 297,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,864.50 : 197,391 = 197,391 : x
  2. Step 2: Convert to fraction form
    130,864.50/197,391 = 197,391/x
  3. Step 3: Cross multiply
    130,864.50x = 197,391 × 197,391
  4. Step 4: Simplify right side
    130,864.50x = 38,963,206,881
  5. Step 5: Solve for x
    x = 38,963,206,881/130,864.50
  6. Step 6: Final answer
    x = 297,737.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.