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Finding the Third Proportional to 317,210.50 and 463,157

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Solution

The third proportional to 317,210.50 and 463,157 is: 676,252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,210.50 : 463,157 = 463,157 : x
  2. Step 2: Convert to fraction form
    317,210.50/463,157 = 463,157/x
  3. Step 3: Cross multiply
    317,210.50x = 463,157 × 463,157
  4. Step 4: Simplify right side
    317,210.50x = 214,514,406,649
  5. Step 5: Solve for x
    x = 214,514,406,649/317,210.50
  6. Step 6: Final answer
    x = 676,252.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.