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Finding the Third Proportional to 243,358 and 363,014

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Solution

The third proportional to 243,358 and 363,014 is: 541,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,358 : 363,014 = 363,014 : x
  2. Step 2: Convert to fraction form
    243,358/363,014 = 363,014/x
  3. Step 3: Cross multiply
    243,358x = 363,014 × 363,014
  4. Step 4: Simplify right side
    243,358x = 131,779,164,196
  5. Step 5: Solve for x
    x = 131,779,164,196/243,358
  6. Step 6: Final answer
    x = 541,503.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.