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Finding the Third Proportional to 136,377 and 297,537

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Solution

The third proportional to 136,377 and 297,537 is: 649,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,377 : 297,537 = 297,537 : x
  2. Step 2: Convert to fraction form
    136,377/297,537 = 297,537/x
  3. Step 3: Cross multiply
    136,377x = 297,537 × 297,537
  4. Step 4: Simplify right side
    136,377x = 88,528,266,369
  5. Step 5: Solve for x
    x = 88,528,266,369/136,377
  6. Step 6: Final answer
    x = 649,143.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.