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Finding the Third Proportional to 141,716 and 299,428

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Solution

The third proportional to 141,716 and 299,428 is: 632,653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,716 : 299,428 = 299,428 : x
  2. Step 2: Convert to fraction form
    141,716/299,428 = 299,428/x
  3. Step 3: Cross multiply
    141,716x = 299,428 × 299,428
  4. Step 4: Simplify right side
    141,716x = 89,657,127,184
  5. Step 5: Solve for x
    x = 89,657,127,184/141,716
  6. Step 6: Final answer
    x = 632,653.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.