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Finding the Third Proportional to 130,860 and 282,444

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Solution

The third proportional to 130,860 and 282,444 is: 609,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,860 : 282,444 = 282,444 : x
  2. Step 2: Convert to fraction form
    130,860/282,444 = 282,444/x
  3. Step 3: Cross multiply
    130,860x = 282,444 × 282,444
  4. Step 4: Simplify right side
    130,860x = 79,774,613,136
  5. Step 5: Solve for x
    x = 79,774,613,136/130,860
  6. Step 6: Final answer
    x = 609,618.01

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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.