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Finding the Third Proportional to 211,916.53 and 317,875.22

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Solution

The third proportional to 211,916.53 and 317,875.22 is: 476,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,916.53 : 317,875.22 = 317,875.22 : x
  2. Step 2: Convert to fraction form
    211,916.53/317,875.22 = 317,875.22/x
  3. Step 3: Cross multiply
    211,916.53x = 317,875.22 × 317,875.22
  4. Step 4: Simplify right side
    211,916.53x = 101,044,654,695.36
  5. Step 5: Solve for x
    x = 101,044,654,695.36/211,916.53
  6. Step 6: Final answer
    x = 476,813.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.