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Finding the Third Proportional to 147,808.88 and 228,263.25

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Solution

The third proportional to 147,808.88 and 228,263.25 is: 352,510.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,808.88 : 228,263.25 = 228,263.25 : x
  2. Step 2: Convert to fraction form
    147,808.88/228,263.25 = 228,263.25/x
  3. Step 3: Cross multiply
    147,808.88x = 228,263.25 × 228,263.25
  4. Step 4: Simplify right side
    147,808.88x = 52,104,111,300.56
  5. Step 5: Solve for x
    x = 52,104,111,300.56/147,808.88
  6. Step 6: Final answer
    x = 352,510.03

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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.