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Finding the Third Proportional to 202,416.47 and 302,509.69

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Solution

The third proportional to 202,416.47 and 302,509.69 is: 452,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,416.47 : 302,509.69 = 302,509.69 : x
  2. Step 2: Convert to fraction form
    202,416.47/302,509.69 = 302,509.69/x
  3. Step 3: Cross multiply
    202,416.47x = 302,509.69 × 302,509.69
  4. Step 4: Simplify right side
    202,416.47x = 91,512,111,031.35
  5. Step 5: Solve for x
    x = 91,512,111,031.35/202,416.47
  6. Step 6: Final answer
    x = 452,098.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.