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Finding the Third Proportional to 178,075.50 and 255,090

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Solution

The third proportional to 178,075.50 and 255,090 is: 365,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,075.50 : 255,090 = 255,090 : x
  2. Step 2: Convert to fraction form
    178,075.50/255,090 = 255,090/x
  3. Step 3: Cross multiply
    178,075.50x = 255,090 × 255,090
  4. Step 4: Simplify right side
    178,075.50x = 65,070,908,100
  5. Step 5: Solve for x
    x = 65,070,908,100/178,075.50
  6. Step 6: Final answer
    x = 365,411.91

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.