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Finding the Third Proportional to 119,957.50 and 277,702

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Solution

The third proportional to 119,957.50 and 277,702 is: 642,881.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,957.50 : 277,702 = 277,702 : x
  2. Step 2: Convert to fraction form
    119,957.50/277,702 = 277,702/x
  3. Step 3: Cross multiply
    119,957.50x = 277,702 × 277,702
  4. Step 4: Simplify right side
    119,957.50x = 77,118,400,804
  5. Step 5: Solve for x
    x = 77,118,400,804/119,957.50
  6. Step 6: Final answer
    x = 642,881.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.