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Finding the Third Proportional to 255,153.38 and 375,348.94

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Solution

The third proportional to 255,153.38 and 375,348.94 is: 552,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,153.38 : 375,348.94 = 375,348.94 : x
  2. Step 2: Convert to fraction form
    255,153.38/375,348.94 = 375,348.94/x
  3. Step 3: Cross multiply
    255,153.38x = 375,348.94 × 375,348.94
  4. Step 4: Simplify right side
    255,153.38x = 140,886,824,882.38
  5. Step 5: Solve for x
    x = 140,886,824,882.38/255,153.38
  6. Step 6: Final answer
    x = 552,165.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.