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Finding the Third Proportional to 130,045 and 244,537

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Solution

The third proportional to 130,045 and 244,537 is: 459,828.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,045 : 244,537 = 244,537 : x
  2. Step 2: Convert to fraction form
    130,045/244,537 = 244,537/x
  3. Step 3: Cross multiply
    130,045x = 244,537 × 244,537
  4. Step 4: Simplify right side
    130,045x = 59,798,344,369
  5. Step 5: Solve for x
    x = 59,798,344,369/130,045
  6. Step 6: Final answer
    x = 459,828.09

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.