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Finding the Third Proportional to 144,140 and 229,035

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Solution

The third proportional to 144,140 and 229,035 is: 363,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,140 : 229,035 = 229,035 : x
  2. Step 2: Convert to fraction form
    144,140/229,035 = 229,035/x
  3. Step 3: Cross multiply
    144,140x = 229,035 × 229,035
  4. Step 4: Simplify right side
    144,140x = 52,457,031,225
  5. Step 5: Solve for x
    x = 52,457,031,225/144,140
  6. Step 6: Final answer
    x = 363,931.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.