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Finding the Third Proportional to 163,298 and 249,807

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Solution

The third proportional to 163,298 and 249,807 is: 382,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,298 : 249,807 = 249,807 : x
  2. Step 2: Convert to fraction form
    163,298/249,807 = 249,807/x
  3. Step 3: Cross multiply
    163,298x = 249,807 × 249,807
  4. Step 4: Simplify right side
    163,298x = 62,403,537,249
  5. Step 5: Solve for x
    x = 62,403,537,249/163,298
  6. Step 6: Final answer
    x = 382,145.14

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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.