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Finding the Third Proportional to 174,824 and 370,564

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Solution

The third proportional to 174,824 and 370,564 is: 785,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,824 : 370,564 = 370,564 : x
  2. Step 2: Convert to fraction form
    174,824/370,564 = 370,564/x
  3. Step 3: Cross multiply
    174,824x = 370,564 × 370,564
  4. Step 4: Simplify right side
    174,824x = 137,317,678,096
  5. Step 5: Solve for x
    x = 137,317,678,096/174,824
  6. Step 6: Final answer
    x = 785,462.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.