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Finding the Third Proportional to 176,453 and 416,477.50

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Solution

The third proportional to 176,453 and 416,477.50 is: 983,001.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,453 : 416,477.50 = 416,477.50 : x
  2. Step 2: Convert to fraction form
    176,453/416,477.50 = 416,477.50/x
  3. Step 3: Cross multiply
    176,453x = 416,477.50 × 416,477.50
  4. Step 4: Simplify right side
    176,453x = 173,453,508,006.25
  5. Step 5: Solve for x
    x = 173,453,508,006.25/176,453
  6. Step 6: Final answer
    x = 983,001.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.