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Finding the Third Proportional to 153,501.75 and 236,813.63

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Solution

The third proportional to 153,501.75 and 236,813.63 is: 365,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,501.75 : 236,813.63 = 236,813.63 : x
  2. Step 2: Convert to fraction form
    153,501.75/236,813.63 = 236,813.63/x
  3. Step 3: Cross multiply
    153,501.75x = 236,813.63 × 236,813.63
  4. Step 4: Simplify right side
    153,501.75x = 56,080,692,985.64
  5. Step 5: Solve for x
    x = 56,080,692,985.64/153,501.75
  6. Step 6: Final answer
    x = 365,342.37

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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.