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Finding the Third Proportional to 176,364 and 242,947.50

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Solution

The third proportional to 176,364 and 242,947.50 is: 334,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,364 : 242,947.50 = 242,947.50 : x
  2. Step 2: Convert to fraction form
    176,364/242,947.50 = 242,947.50/x
  3. Step 3: Cross multiply
    176,364x = 242,947.50 × 242,947.50
  4. Step 4: Simplify right side
    176,364x = 59,023,487,756.25
  5. Step 5: Solve for x
    x = 59,023,487,756.25/176,364
  6. Step 6: Final answer
    x = 334,668.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.