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Finding the Third Proportional to 102,416 and 237,248

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Solution

The third proportional to 102,416 and 237,248 is: 549,588.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,416 : 237,248 = 237,248 : x
  2. Step 2: Convert to fraction form
    102,416/237,248 = 237,248/x
  3. Step 3: Cross multiply
    102,416x = 237,248 × 237,248
  4. Step 4: Simplify right side
    102,416x = 56,286,613,504
  5. Step 5: Solve for x
    x = 56,286,613,504/102,416
  6. Step 6: Final answer
    x = 549,588.09

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.