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Finding the Third Proportional to 180,957.50 and 357,373.50

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Solution

The third proportional to 180,957.50 and 357,373.50 is: 705,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,957.50 : 357,373.50 = 357,373.50 : x
  2. Step 2: Convert to fraction form
    180,957.50/357,373.50 = 357,373.50/x
  3. Step 3: Cross multiply
    180,957.50x = 357,373.50 × 357,373.50
  4. Step 4: Simplify right side
    180,957.50x = 127,715,818,502.25
  5. Step 5: Solve for x
    x = 127,715,818,502.25/180,957.50
  6. Step 6: Final answer
    x = 705,777.98

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.