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Finding the Third Proportional to 246,412.13 and 359,929.41

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Solution

The third proportional to 246,412.13 and 359,929.41 is: 525,741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,412.13 : 359,929.41 = 359,929.41 : x
  2. Step 2: Convert to fraction form
    246,412.13/359,929.41 = 359,929.41/x
  3. Step 3: Cross multiply
    246,412.13x = 359,929.41 × 359,929.41
  4. Step 4: Simplify right side
    246,412.13x = 129,549,177,483.48
  5. Step 5: Solve for x
    x = 129,549,177,483.48/246,412.13
  6. Step 6: Final answer
    x = 525,741.89

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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.