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Finding the Third Proportional to 153,557 and 236,896

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Solution

The third proportional to 153,557 and 236,896 is: 365,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,557 : 236,896 = 236,896 : x
  2. Step 2: Convert to fraction form
    153,557/236,896 = 236,896/x
  3. Step 3: Cross multiply
    153,557x = 236,896 × 236,896
  4. Step 4: Simplify right side
    153,557x = 56,119,714,816
  5. Step 5: Solve for x
    x = 56,119,714,816/153,557
  6. Step 6: Final answer
    x = 365,465.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.