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Finding the Third Proportional to 153,006 and 252,852

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Solution

The third proportional to 153,006 and 252,852 is: 417,853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,006 : 252,852 = 252,852 : x
  2. Step 2: Convert to fraction form
    153,006/252,852 = 252,852/x
  3. Step 3: Cross multiply
    153,006x = 252,852 × 252,852
  4. Step 4: Simplify right side
    153,006x = 63,934,133,904
  5. Step 5: Solve for x
    x = 63,934,133,904/153,006
  6. Step 6: Final answer
    x = 417,853.77

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.