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Finding the Third Proportional to 237,196 and 369,402

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Solution

The third proportional to 237,196 and 369,402 is: 575,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,196 : 369,402 = 369,402 : x
  2. Step 2: Convert to fraction form
    237,196/369,402 = 369,402/x
  3. Step 3: Cross multiply
    237,196x = 369,402 × 369,402
  4. Step 4: Simplify right side
    237,196x = 136,457,837,604
  5. Step 5: Solve for x
    x = 136,457,837,604/237,196
  6. Step 6: Final answer
    x = 575,295.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.