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Finding the Third Proportional to 176,202 and 358,560

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Solution

The third proportional to 176,202 and 358,560 is: 729,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,202 : 358,560 = 358,560 : x
  2. Step 2: Convert to fraction form
    176,202/358,560 = 358,560/x
  3. Step 3: Cross multiply
    176,202x = 358,560 × 358,560
  4. Step 4: Simplify right side
    176,202x = 128,565,273,600
  5. Step 5: Solve for x
    x = 128,565,273,600/176,202
  6. Step 6: Final answer
    x = 729,647.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.