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Finding the Third Proportional to 141,362 and 302,335

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Solution

The third proportional to 141,362 and 302,335 is: 646,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,362 : 302,335 = 302,335 : x
  2. Step 2: Convert to fraction form
    141,362/302,335 = 302,335/x
  3. Step 3: Cross multiply
    141,362x = 302,335 × 302,335
  4. Step 4: Simplify right side
    141,362x = 91,406,452,225
  5. Step 5: Solve for x
    x = 91,406,452,225/141,362
  6. Step 6: Final answer
    x = 646,612.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.