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Finding the Third Proportional to 197,461.13 and 297,585

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Solution

The third proportional to 197,461.13 and 297,585 is: 448,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,461.13 : 297,585 = 297,585 : x
  2. Step 2: Convert to fraction form
    197,461.13/297,585 = 297,585/x
  3. Step 3: Cross multiply
    197,461.13x = 297,585 × 297,585
  4. Step 4: Simplify right side
    197,461.13x = 88,556,832,225
  5. Step 5: Solve for x
    x = 88,556,832,225/197,461.13
  6. Step 6: Final answer
    x = 448,477.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.