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Finding the Third Proportional to 113,925 and 249,297

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Solution

The third proportional to 113,925 and 249,297 is: 545,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,925 : 249,297 = 249,297 : x
  2. Step 2: Convert to fraction form
    113,925/249,297 = 249,297/x
  3. Step 3: Cross multiply
    113,925x = 249,297 × 249,297
  4. Step 4: Simplify right side
    113,925x = 62,148,994,209
  5. Step 5: Solve for x
    x = 62,148,994,209/113,925
  6. Step 6: Final answer
    x = 545,525.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.