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Finding the Third Proportional to 130,210.13 and 285,347.63

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Solution

The third proportional to 130,210.13 and 285,347.63 is: 625,322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,210.13 : 285,347.63 = 285,347.63 : x
  2. Step 2: Convert to fraction form
    130,210.13/285,347.63 = 285,347.63/x
  3. Step 3: Cross multiply
    130,210.13x = 285,347.63 × 285,347.63
  4. Step 4: Simplify right side
    130,210.13x = 81,423,267,093.14
  5. Step 5: Solve for x
    x = 81,423,267,093.14/130,210.13
  6. Step 6: Final answer
    x = 625,322.09

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