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Finding the Third Proportional to 141,412 and 304,964

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Solution

The third proportional to 141,412 and 304,964 is: 657,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,412 : 304,964 = 304,964 : x
  2. Step 2: Convert to fraction form
    141,412/304,964 = 304,964/x
  3. Step 3: Cross multiply
    141,412x = 304,964 × 304,964
  4. Step 4: Simplify right side
    141,412x = 93,003,041,296
  5. Step 5: Solve for x
    x = 93,003,041,296/141,412
  6. Step 6: Final answer
    x = 657,674.32

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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.