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Finding the Third Proportional to 104,897 and 228,465

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Solution

The third proportional to 104,897 and 228,465 is: 497,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,897 : 228,465 = 228,465 : x
  2. Step 2: Convert to fraction form
    104,897/228,465 = 228,465/x
  3. Step 3: Cross multiply
    104,897x = 228,465 × 228,465
  4. Step 4: Simplify right side
    104,897x = 52,196,256,225
  5. Step 5: Solve for x
    x = 52,196,256,225/104,897
  6. Step 6: Final answer
    x = 497,595.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.