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Finding the Third Proportional to 134,802 and 293,386.50

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Solution

The third proportional to 134,802 and 293,386.50 is: 638,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,802 : 293,386.50 = 293,386.50 : x
  2. Step 2: Convert to fraction form
    134,802/293,386.50 = 293,386.50/x
  3. Step 3: Cross multiply
    134,802x = 293,386.50 × 293,386.50
  4. Step 4: Simplify right side
    134,802x = 86,075,638,382.25
  5. Step 5: Solve for x
    x = 86,075,638,382.25/134,802
  6. Step 6: Final answer
    x = 638,533.84

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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.