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Finding the Third Proportional to 163,080 and 249,483

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Solution

The third proportional to 163,080 and 249,483 is: 381,664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,080 : 249,483 = 249,483 : x
  2. Step 2: Convert to fraction form
    163,080/249,483 = 249,483/x
  3. Step 3: Cross multiply
    163,080x = 249,483 × 249,483
  4. Step 4: Simplify right side
    163,080x = 62,241,767,289
  5. Step 5: Solve for x
    x = 62,241,767,289/163,080
  6. Step 6: Final answer
    x = 381,664.01

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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.