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Finding the Third Proportional to 163,075 and 249,476

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Solution

The third proportional to 163,075 and 249,476 is: 381,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,075 : 249,476 = 249,476 : x
  2. Step 2: Convert to fraction form
    163,075/249,476 = 249,476/x
  3. Step 3: Cross multiply
    163,075x = 249,476 × 249,476
  4. Step 4: Simplify right side
    163,075x = 62,238,274,576
  5. Step 5: Solve for x
    x = 62,238,274,576/163,075
  6. Step 6: Final answer
    x = 381,654.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.