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Finding the Third Proportional to 141,484 and 305,072

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Solution

The third proportional to 141,484 and 305,072 is: 657,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,484 : 305,072 = 305,072 : x
  2. Step 2: Convert to fraction form
    141,484/305,072 = 305,072/x
  3. Step 3: Cross multiply
    141,484x = 305,072 × 305,072
  4. Step 4: Simplify right side
    141,484x = 93,068,925,184
  5. Step 5: Solve for x
    x = 93,068,925,184/141,484
  6. Step 6: Final answer
    x = 657,805.30

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Why These Related Problems?

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