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Finding the Third Proportional to 139,358 and 301,076

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Solution

The third proportional to 139,358 and 301,076 is: 650,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,358 : 301,076 = 301,076 : x
  2. Step 2: Convert to fraction form
    139,358/301,076 = 301,076/x
  3. Step 3: Cross multiply
    139,358x = 301,076 × 301,076
  4. Step 4: Simplify right side
    139,358x = 90,646,757,776
  5. Step 5: Solve for x
    x = 90,646,757,776/139,358
  6. Step 6: Final answer
    x = 650,459.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.