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Finding the Third Proportional to 145,829 and 228,464

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Solution

The third proportional to 145,829 and 228,464 is: 357,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,829 : 228,464 = 228,464 : x
  2. Step 2: Convert to fraction form
    145,829/228,464 = 228,464/x
  3. Step 3: Cross multiply
    145,829x = 228,464 × 228,464
  4. Step 4: Simplify right side
    145,829x = 52,195,799,296
  5. Step 5: Solve for x
    x = 52,195,799,296/145,829
  6. Step 6: Final answer
    x = 357,924.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.