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Finding the Third Proportional to 241,725 and 530,106

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Solution

The third proportional to 241,725 and 530,106 is: 1,162,529.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,725 : 530,106 = 530,106 : x
  2. Step 2: Convert to fraction form
    241,725/530,106 = 530,106/x
  3. Step 3: Cross multiply
    241,725x = 530,106 × 530,106
  4. Step 4: Simplify right side
    241,725x = 281,012,371,236
  5. Step 5: Solve for x
    x = 281,012,371,236/241,725
  6. Step 6: Final answer
    x = 1,162,529.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.