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Finding the Third Proportional to 125,030 and 294,964

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Solution

The third proportional to 125,030 and 294,964 is: 695,863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,030 : 294,964 = 294,964 : x
  2. Step 2: Convert to fraction form
    125,030/294,964 = 294,964/x
  3. Step 3: Cross multiply
    125,030x = 294,964 × 294,964
  4. Step 4: Simplify right side
    125,030x = 87,003,761,296
  5. Step 5: Solve for x
    x = 87,003,761,296/125,030
  6. Step 6: Final answer
    x = 695,863.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.