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Finding the Third Proportional to 132,852 and 312,582

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Solution

The third proportional to 132,852 and 312,582 is: 735,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,852 : 312,582 = 312,582 : x
  2. Step 2: Convert to fraction form
    132,852/312,582 = 312,582/x
  3. Step 3: Cross multiply
    132,852x = 312,582 × 312,582
  4. Step 4: Simplify right side
    132,852x = 97,707,506,724
  5. Step 5: Solve for x
    x = 97,707,506,724/132,852
  6. Step 6: Final answer
    x = 735,461.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.