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Finding the Third Proportional to 210,281 and 302,263

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Solution

The third proportional to 210,281 and 302,263 is: 434,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,281 : 302,263 = 302,263 : x
  2. Step 2: Convert to fraction form
    210,281/302,263 = 302,263/x
  3. Step 3: Cross multiply
    210,281x = 302,263 × 302,263
  4. Step 4: Simplify right side
    210,281x = 91,362,921,169
  5. Step 5: Solve for x
    x = 91,362,921,169/210,281
  6. Step 6: Final answer
    x = 434,480.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.