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Finding the Third Proportional to 163,485 and 249,465.38

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Solution

The third proportional to 163,485 and 249,465.38 is: 380,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,485 : 249,465.38 = 249,465.38 : x
  2. Step 2: Convert to fraction form
    163,485/249,465.38 = 249,465.38/x
  3. Step 3: Cross multiply
    163,485x = 249,465.38 × 249,465.38
  4. Step 4: Simplify right side
    163,485x = 62,232,973,323.89
  5. Step 5: Solve for x
    x = 62,232,973,323.89/163,485
  6. Step 6: Final answer
    x = 380,664.73

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