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Finding the Third Proportional to 130,294 and 285,526

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Solution

The third proportional to 130,294 and 285,526 is: 625,701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,294 : 285,526 = 285,526 : x
  2. Step 2: Convert to fraction form
    130,294/285,526 = 285,526/x
  3. Step 3: Cross multiply
    130,294x = 285,526 × 285,526
  4. Step 4: Simplify right side
    130,294x = 81,525,096,676
  5. Step 5: Solve for x
    x = 81,525,096,676/130,294
  6. Step 6: Final answer
    x = 625,701.08

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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.