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Finding the Third Proportional to 130,964.34 and 282,587.91

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Solution

The third proportional to 130,964.34 and 282,587.91 is: 609,753.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,964.34 : 282,587.91 = 282,587.91 : x
  2. Step 2: Convert to fraction form
    130,964.34/282,587.91 = 282,587.91/x
  3. Step 3: Cross multiply
    130,964.34x = 282,587.91 × 282,587.91
  4. Step 4: Simplify right side
    130,964.34x = 79,855,924,758.76
  5. Step 5: Solve for x
    x = 79,855,924,758.76/130,964.34
  6. Step 6: Final answer
    x = 609,753.18

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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.