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Finding the Third Proportional to 164,075.25 and 253,113

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Solution

The third proportional to 164,075.25 and 253,113 is: 390,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,075.25 : 253,113 = 253,113 : x
  2. Step 2: Convert to fraction form
    164,075.25/253,113 = 253,113/x
  3. Step 3: Cross multiply
    164,075.25x = 253,113 × 253,113
  4. Step 4: Simplify right side
    164,075.25x = 64,066,190,769
  5. Step 5: Solve for x
    x = 64,066,190,769/164,075.25
  6. Step 6: Final answer
    x = 390,468.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.