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Finding the Third Proportional to 134,681.81 and 293,009.72

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Solution

The third proportional to 134,681.81 and 293,009.72 is: 637,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,681.81 : 293,009.72 = 293,009.72 : x
  2. Step 2: Convert to fraction form
    134,681.81/293,009.72 = 293,009.72/x
  3. Step 3: Cross multiply
    134,681.81x = 293,009.72 × 293,009.72
  4. Step 4: Simplify right side
    134,681.81x = 85,854,695,281.95
  5. Step 5: Solve for x
    x = 85,854,695,281.95/134,681.81
  6. Step 6: Final answer
    x = 637,463.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.